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Finding the Third Proportional to 9,623 and 20,015

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Solution

The third proportional to 9,623 and 20,015 is: 41,629.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623 : 20,015 = 20,015 : x
  2. Step 2: Convert to fraction form
    9,623/20,015 = 20,015/x
  3. Step 3: Cross multiply
    9,623x = 20,015 × 20,015
  4. Step 4: Simplify right side
    9,623x = 400,600,225
  5. Step 5: Solve for x
    x = 400,600,225/9,623
  6. Step 6: Final answer
    x = 41,629.45

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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.