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Finding the Third Proportional to 10,542 and 15,722

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Solution

The third proportional to 10,542 and 15,722 is: 23,447.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542 : 15,722 = 15,722 : x
  2. Step 2: Convert to fraction form
    10,542/15,722 = 15,722/x
  3. Step 3: Cross multiply
    10,542x = 15,722 × 15,722
  4. Step 4: Simplify right side
    10,542x = 247,181,284
  5. Step 5: Solve for x
    x = 247,181,284/10,542
  6. Step 6: Final answer
    x = 23,447.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.