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Finding the Third Proportional to 31,288.50 and 63,663.75

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Solution

The third proportional to 31,288.50 and 63,663.75 is: 129,538.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,288.50 : 63,663.75 = 63,663.75 : x
  2. Step 2: Convert to fraction form
    31,288.50/63,663.75 = 63,663.75/x
  3. Step 3: Cross multiply
    31,288.50x = 63,663.75 × 63,663.75
  4. Step 4: Simplify right side
    31,288.50x = 4,053,073,064.06
  5. Step 5: Solve for x
    x = 4,053,073,064.06/31,288.50
  6. Step 6: Final answer
    x = 129,538.75

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.