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Finding the Third Proportional to 38,200 and 52,098

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Solution

The third proportional to 38,200 and 52,098 is: 71,052.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200 : 52,098 = 52,098 : x
  2. Step 2: Convert to fraction form
    38,200/52,098 = 52,098/x
  3. Step 3: Cross multiply
    38,200x = 52,098 × 52,098
  4. Step 4: Simplify right side
    38,200x = 2,714,201,604
  5. Step 5: Solve for x
    x = 2,714,201,604/38,200
  6. Step 6: Final answer
    x = 71,052.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.