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Finding the Third Proportional to 34,418 and 52,099

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Solution

The third proportional to 34,418 and 52,099 is: 78,862.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,418 : 52,099 = 52,099 : x
  2. Step 2: Convert to fraction form
    34,418/52,099 = 52,099/x
  3. Step 3: Cross multiply
    34,418x = 52,099 × 52,099
  4. Step 4: Simplify right side
    34,418x = 2,714,305,801
  5. Step 5: Solve for x
    x = 2,714,305,801/34,418
  6. Step 6: Final answer
    x = 78,862.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.