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Finding the Third Proportional to 5,996 and 12,230.25

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Solution

The third proportional to 5,996 and 12,230.25 is: 24,946.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996 : 12,230.25 = 12,230.25 : x
  2. Step 2: Convert to fraction form
    5,996/12,230.25 = 12,230.25/x
  3. Step 3: Cross multiply
    5,996x = 12,230.25 × 12,230.25
  4. Step 4: Simplify right side
    5,996x = 149,579,015.06
  5. Step 5: Solve for x
    x = 149,579,015.06/5,996
  6. Step 6: Final answer
    x = 24,946.47

Related Problems

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.