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Finding the Third Proportional to 34,317 and 54,801

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Solution

The third proportional to 34,317 and 54,801 is: 87,512.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,317 : 54,801 = 54,801 : x
  2. Step 2: Convert to fraction form
    34,317/54,801 = 54,801/x
  3. Step 3: Cross multiply
    34,317x = 54,801 × 54,801
  4. Step 4: Simplify right side
    34,317x = 3,003,149,601
  5. Step 5: Solve for x
    x = 3,003,149,601/34,317
  6. Step 6: Final answer
    x = 87,512.01

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.