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Finding the Third Proportional to 3,693.52 and 5,542.80

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Solution

The third proportional to 3,693.52 and 5,542.80 is: 8,318.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.52 : 5,542.80 = 5,542.80 : x
  2. Step 2: Convert to fraction form
    3,693.52/5,542.80 = 5,542.80/x
  3. Step 3: Cross multiply
    3,693.52x = 5,542.80 × 5,542.80
  4. Step 4: Simplify right side
    3,693.52x = 30,722,683.80
  5. Step 5: Solve for x
    x = 30,722,683.80/3,693.52
  6. Step 6: Final answer
    x = 8,318.01

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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.