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Finding the Third Proportional to 31,585.88 and 68,092.13

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Solution

The third proportional to 31,585.88 and 68,092.13 is: 146,791.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,585.88 : 68,092.13 = 68,092.13 : x
  2. Step 2: Convert to fraction form
    31,585.88/68,092.13 = 68,092.13/x
  3. Step 3: Cross multiply
    31,585.88x = 68,092.13 × 68,092.13
  4. Step 4: Simplify right side
    31,585.88x = 4,636,537,487.02
  5. Step 5: Solve for x
    x = 4,636,537,487.02/31,585.88
  6. Step 6: Final answer
    x = 146,791.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.