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Finding the Third Proportional to 5,452.13 and 8,647.31

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Solution

The third proportional to 5,452.13 and 8,647.31 is: 13,715.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452.13 : 8,647.31 = 8,647.31 : x
  2. Step 2: Convert to fraction form
    5,452.13/8,647.31 = 8,647.31/x
  3. Step 3: Cross multiply
    5,452.13x = 8,647.31 × 8,647.31
  4. Step 4: Simplify right side
    5,452.13x = 74,776,013.47
  5. Step 5: Solve for x
    x = 74,776,013.47/5,452.13
  6. Step 6: Final answer
    x = 13,715.02

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.