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Finding the Third Proportional to 22,859 and 34,730

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Solution

The third proportional to 22,859 and 34,730 is: 52,765.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,859 : 34,730 = 34,730 : x
  2. Step 2: Convert to fraction form
    22,859/34,730 = 34,730/x
  3. Step 3: Cross multiply
    22,859x = 34,730 × 34,730
  4. Step 4: Simplify right side
    22,859x = 1,206,172,900
  5. Step 5: Solve for x
    x = 1,206,172,900/22,859
  6. Step 6: Final answer
    x = 52,765.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.