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Finding the Third Proportional to 38,512.13 and 57,616.31

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Solution

The third proportional to 38,512.13 and 57,616.31 is: 86,197.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,512.13 : 57,616.31 = 57,616.31 : x
  2. Step 2: Convert to fraction form
    38,512.13/57,616.31 = 57,616.31/x
  3. Step 3: Cross multiply
    38,512.13x = 57,616.31 × 57,616.31
  4. Step 4: Simplify right side
    38,512.13x = 3,319,639,466.10
  5. Step 5: Solve for x
    x = 3,319,639,466.10/38,512.13
  6. Step 6: Final answer
    x = 86,197.26

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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.