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Finding the Third Proportional to 39,646.13 and 58,374

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Solution

The third proportional to 39,646.13 and 58,374 is: 85,948.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,646.13 : 58,374 = 58,374 : x
  2. Step 2: Convert to fraction form
    39,646.13/58,374 = 58,374/x
  3. Step 3: Cross multiply
    39,646.13x = 58,374 × 58,374
  4. Step 4: Simplify right side
    39,646.13x = 3,407,523,876
  5. Step 5: Solve for x
    x = 3,407,523,876/39,646.13
  6. Step 6: Final answer
    x = 85,948.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.