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Finding the Third Proportional to 10,747.69 and 16,063.31

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Solution

The third proportional to 10,747.69 and 16,063.31 is: 24,007.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,747.69 : 16,063.31 = 16,063.31 : x
  2. Step 2: Convert to fraction form
    10,747.69/16,063.31 = 16,063.31/x
  3. Step 3: Cross multiply
    10,747.69x = 16,063.31 × 16,063.31
  4. Step 4: Simplify right side
    10,747.69x = 258,030,008.47
  5. Step 5: Solve for x
    x = 258,030,008.47/10,747.69
  6. Step 6: Final answer
    x = 24,007.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.