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Finding the Third Proportional to 38,257.31 and 81,070.88

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Solution

The third proportional to 38,257.31 and 81,070.88 is: 171,796.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,257.31 : 81,070.88 = 81,070.88 : x
  2. Step 2: Convert to fraction form
    38,257.31/81,070.88 = 81,070.88/x
  3. Step 3: Cross multiply
    38,257.31x = 81,070.88 × 81,070.88
  4. Step 4: Simplify right side
    38,257.31x = 6,572,486,773.27
  5. Step 5: Solve for x
    x = 6,572,486,773.27/38,257.31
  6. Step 6: Final answer
    x = 171,796.88

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.