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Finding the Third Proportional to 39,430 and 59,554

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Solution

The third proportional to 39,430 and 59,554 is: 89,948.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,430 : 59,554 = 59,554 : x
  2. Step 2: Convert to fraction form
    39,430/59,554 = 59,554/x
  3. Step 3: Cross multiply
    39,430x = 59,554 × 59,554
  4. Step 4: Simplify right side
    39,430x = 3,546,678,916
  5. Step 5: Solve for x
    x = 3,546,678,916/39,430
  6. Step 6: Final answer
    x = 89,948.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.