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Finding the Third Proportional to 3,487.13 and 5,233.31

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Solution

The third proportional to 3,487.13 and 5,233.31 is: 7,853.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.13 : 5,233.31 = 5,233.31 : x
  2. Step 2: Convert to fraction form
    3,487.13/5,233.31 = 5,233.31/x
  3. Step 3: Cross multiply
    3,487.13x = 5,233.31 × 5,233.31
  4. Step 4: Simplify right side
    3,487.13x = 27,387,559.72
  5. Step 5: Solve for x
    x = 27,387,559.72/3,487.13
  6. Step 6: Final answer
    x = 7,853.91

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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.