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Finding the Third Proportional to 13,663.69 and 19,951.31

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Solution

The third proportional to 13,663.69 and 19,951.31 is: 29,132.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.69 : 19,951.31 = 19,951.31 : x
  2. Step 2: Convert to fraction form
    13,663.69/19,951.31 = 19,951.31/x
  3. Step 3: Cross multiply
    13,663.69x = 19,951.31 × 19,951.31
  4. Step 4: Simplify right side
    13,663.69x = 398,054,870.47
  5. Step 5: Solve for x
    x = 398,054,870.47/13,663.69
  6. Step 6: Final answer
    x = 29,132.32

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.