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Finding the Third Proportional to 9,721.69 and 14,578.31

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Solution

The third proportional to 9,721.69 and 14,578.31 is: 21,861.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.69 : 14,578.31 = 14,578.31 : x
  2. Step 2: Convert to fraction form
    9,721.69/14,578.31 = 14,578.31/x
  3. Step 3: Cross multiply
    9,721.69x = 14,578.31 × 14,578.31
  4. Step 4: Simplify right side
    9,721.69x = 212,527,195.35
  5. Step 5: Solve for x
    x = 212,527,195.35/9,721.69
  6. Step 6: Final answer
    x = 21,861.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.