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Finding the Third Proportional to 9,630 and 20,015

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Solution

The third proportional to 9,630 and 20,015 is: 41,599.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630 : 20,015 = 20,015 : x
  2. Step 2: Convert to fraction form
    9,630/20,015 = 20,015/x
  3. Step 3: Cross multiply
    9,630x = 20,015 × 20,015
  4. Step 4: Simplify right side
    9,630x = 400,600,225
  5. Step 5: Solve for x
    x = 400,600,225/9,630
  6. Step 6: Final answer
    x = 41,599.19

Related Problems

Find third proportional to 4,815 and 10,007.50
Half scale
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Double scale
Find third proportional to 9,632 and 20,019
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.