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Finding the Third Proportional to 5,614.31 and 7,986.09

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Solution

The third proportional to 5,614.31 and 7,986.09 is: 11,359.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.31 : 7,986.09 = 7,986.09 : x
  2. Step 2: Convert to fraction form
    5,614.31/7,986.09 = 7,986.09/x
  3. Step 3: Cross multiply
    5,614.31x = 7,986.09 × 7,986.09
  4. Step 4: Simplify right side
    5,614.31x = 63,777,693.38
  5. Step 5: Solve for x
    x = 63,777,693.38/5,614.31
  6. Step 6: Final answer
    x = 11,359.84

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.