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Finding the Third Proportional to 29,638 and 41,934

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Solution

The third proportional to 29,638 and 41,934 is: 59,331.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,638 : 41,934 = 41,934 : x
  2. Step 2: Convert to fraction form
    29,638/41,934 = 41,934/x
  3. Step 3: Cross multiply
    29,638x = 41,934 × 41,934
  4. Step 4: Simplify right side
    29,638x = 1,758,460,356
  5. Step 5: Solve for x
    x = 1,758,460,356/29,638
  6. Step 6: Final answer
    x = 59,331.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.