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Finding the Third Proportional to 34,569 and 52,170

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Solution

The third proportional to 34,569 and 52,170 is: 78,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,569 : 52,170 = 52,170 : x
  2. Step 2: Convert to fraction form
    34,569/52,170 = 52,170/x
  3. Step 3: Cross multiply
    34,569x = 52,170 × 52,170
  4. Step 4: Simplify right side
    34,569x = 2,721,708,900
  5. Step 5: Solve for x
    x = 2,721,708,900/34,569
  6. Step 6: Final answer
    x = 78,732.65

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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.