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Finding the Third Proportional to 10,731.66 and 15,337.69

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Solution

The third proportional to 10,731.66 and 15,337.69 is: 21,920.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,731.66 : 15,337.69 = 15,337.69 : x
  2. Step 2: Convert to fraction form
    10,731.66/15,337.69 = 15,337.69/x
  3. Step 3: Cross multiply
    10,731.66x = 15,337.69 × 15,337.69
  4. Step 4: Simplify right side
    10,731.66x = 235,244,657.85
  5. Step 5: Solve for x
    x = 235,244,657.85/10,731.66
  6. Step 6: Final answer
    x = 21,920.63

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.