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Finding the Third Proportional to 39,140 and 59,460

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Solution

The third proportional to 39,140 and 59,460 is: 90,329.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,140 : 59,460 = 59,460 : x
  2. Step 2: Convert to fraction form
    39,140/59,460 = 59,460/x
  3. Step 3: Cross multiply
    39,140x = 59,460 × 59,460
  4. Step 4: Simplify right side
    39,140x = 3,535,491,600
  5. Step 5: Solve for x
    x = 3,535,491,600/39,140
  6. Step 6: Final answer
    x = 90,329.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.