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Finding the Third Proportional to 5,444 and 8,542

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Solution

The third proportional to 5,444 and 8,542 is: 13,402.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,444 : 8,542 = 8,542 : x
  2. Step 2: Convert to fraction form
    5,444/8,542 = 8,542/x
  3. Step 3: Cross multiply
    5,444x = 8,542 × 8,542
  4. Step 4: Simplify right side
    5,444x = 72,965,764
  5. Step 5: Solve for x
    x = 72,965,764/5,444
  6. Step 6: Final answer
    x = 13,402.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.