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Finding the Third Proportional to 31,601.25 and 67,098.38

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Solution

The third proportional to 31,601.25 and 67,098.38 is: 142,468.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,601.25 : 67,098.38 = 67,098.38 : x
  2. Step 2: Convert to fraction form
    31,601.25/67,098.38 = 67,098.38/x
  3. Step 3: Cross multiply
    31,601.25x = 67,098.38 × 67,098.38
  4. Step 4: Simplify right side
    31,601.25x = 4,502,191,927.64
  5. Step 5: Solve for x
    x = 4,502,191,927.64/31,601.25
  6. Step 6: Final answer
    x = 142,468.79

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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.