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Finding the Third Proportional to 19,663.50 and 31,150.88

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Solution

The third proportional to 19,663.50 and 31,150.88 is: 49,349.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,663.50 : 31,150.88 = 31,150.88 : x
  2. Step 2: Convert to fraction form
    19,663.50/31,150.88 = 31,150.88/x
  3. Step 3: Cross multiply
    19,663.50x = 31,150.88 × 31,150.88
  4. Step 4: Simplify right side
    19,663.50x = 970,377,013.27
  5. Step 5: Solve for x
    x = 970,377,013.27/19,663.50
  6. Step 6: Final answer
    x = 49,349.15

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.