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Finding the Third Proportional to 22,743 and 34,919

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Solution

The third proportional to 22,743 and 34,919 is: 53,613.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,743 : 34,919 = 34,919 : x
  2. Step 2: Convert to fraction form
    22,743/34,919 = 34,919/x
  3. Step 3: Cross multiply
    22,743x = 34,919 × 34,919
  4. Step 4: Simplify right side
    22,743x = 1,219,336,561
  5. Step 5: Solve for x
    x = 1,219,336,561/22,743
  6. Step 6: Final answer
    x = 53,613.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.