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Finding the Third Proportional to 32,605.31 and 68,712.75

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Solution

The third proportional to 32,605.31 and 68,712.75 is: 144,805.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,605.31 : 68,712.75 = 68,712.75 : x
  2. Step 2: Convert to fraction form
    32,605.31/68,712.75 = 68,712.75/x
  3. Step 3: Cross multiply
    32,605.31x = 68,712.75 × 68,712.75
  4. Step 4: Simplify right side
    32,605.31x = 4,721,442,012.56
  5. Step 5: Solve for x
    x = 4,721,442,012.56/32,605.31
  6. Step 6: Final answer
    x = 144,805.91

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.