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Finding the Third Proportional to 5,487.75 and 14,691.38

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Solution

The third proportional to 5,487.75 and 14,691.38 is: 39,330.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,487.75 : 14,691.38 = 14,691.38 : x
  2. Step 2: Convert to fraction form
    5,487.75/14,691.38 = 14,691.38/x
  3. Step 3: Cross multiply
    5,487.75x = 14,691.38 × 14,691.38
  4. Step 4: Simplify right side
    5,487.75x = 215,836,499.39
  5. Step 5: Solve for x
    x = 215,836,499.39/5,487.75
  6. Step 6: Final answer
    x = 39,330.60

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These problems maintain the same ratio (2.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.