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Finding the Third Proportional to 9,542 and 22,295

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Solution

The third proportional to 9,542 and 22,295 is: 52,092.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542 : 22,295 = 22,295 : x
  2. Step 2: Convert to fraction form
    9,542/22,295 = 22,295/x
  3. Step 3: Cross multiply
    9,542x = 22,295 × 22,295
  4. Step 4: Simplify right side
    9,542x = 497,067,025
  5. Step 5: Solve for x
    x = 497,067,025/9,542
  6. Step 6: Final answer
    x = 52,092.54

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.