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Finding the Third Proportional to 34,571 and 74,397

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Solution

The third proportional to 34,571 and 74,397 is: 160,102.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,571 : 74,397 = 74,397 : x
  2. Step 2: Convert to fraction form
    34,571/74,397 = 74,397/x
  3. Step 3: Cross multiply
    34,571x = 74,397 × 74,397
  4. Step 4: Simplify right side
    34,571x = 5,534,913,609
  5. Step 5: Solve for x
    x = 5,534,913,609/34,571
  6. Step 6: Final answer
    x = 160,102.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.