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Finding the Third Proportional to 29,613 and 38,419

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Solution

The third proportional to 29,613 and 38,419 is: 49,843.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,613 : 38,419 = 38,419 : x
  2. Step 2: Convert to fraction form
    29,613/38,419 = 38,419/x
  3. Step 3: Cross multiply
    29,613x = 38,419 × 38,419
  4. Step 4: Simplify right side
    29,613x = 1,476,019,561
  5. Step 5: Solve for x
    x = 1,476,019,561/29,613
  6. Step 6: Final answer
    x = 49,843.63

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.