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Finding the Third Proportional to 22,750 and 34,914

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Solution

The third proportional to 22,750 and 34,914 is: 53,581.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,750 : 34,914 = 34,914 : x
  2. Step 2: Convert to fraction form
    22,750/34,914 = 34,914/x
  3. Step 3: Cross multiply
    22,750x = 34,914 × 34,914
  4. Step 4: Simplify right side
    22,750x = 1,218,987,396
  5. Step 5: Solve for x
    x = 1,218,987,396/22,750
  6. Step 6: Final answer
    x = 53,581.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.