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Finding the Third Proportional to 10,771 and 23,542

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Solution

The third proportional to 10,771 and 23,542 is: 51,455.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771 : 23,542 = 23,542 : x
  2. Step 2: Convert to fraction form
    10,771/23,542 = 23,542/x
  3. Step 3: Cross multiply
    10,771x = 23,542 × 23,542
  4. Step 4: Simplify right side
    10,771x = 554,225,764
  5. Step 5: Solve for x
    x = 554,225,764/10,771
  6. Step 6: Final answer
    x = 51,455.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.