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Finding the Third Proportional to 5,734 and 8,681

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Solution

The third proportional to 5,734 and 8,681 is: 13,142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734 : 8,681 = 8,681 : x
  2. Step 2: Convert to fraction form
    5,734/8,681 = 8,681/x
  3. Step 3: Cross multiply
    5,734x = 8,681 × 8,681
  4. Step 4: Simplify right side
    5,734x = 75,359,761
  5. Step 5: Solve for x
    x = 75,359,761/5,734
  6. Step 6: Final answer
    x = 13,142.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.