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Finding the Third Proportional to 39,400 and 59,128

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Solution

The third proportional to 39,400 and 59,128 is: 88,734.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,400 : 59,128 = 59,128 : x
  2. Step 2: Convert to fraction form
    39,400/59,128 = 59,128/x
  3. Step 3: Cross multiply
    39,400x = 59,128 × 59,128
  4. Step 4: Simplify right side
    39,400x = 3,496,120,384
  5. Step 5: Solve for x
    x = 3,496,120,384/39,400
  6. Step 6: Final answer
    x = 88,734.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.