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Finding the Third Proportional to 34,571 and 52,173

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Solution

The third proportional to 34,571 and 52,173 is: 78,737.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,571 : 52,173 = 52,173 : x
  2. Step 2: Convert to fraction form
    34,571/52,173 = 52,173/x
  3. Step 3: Cross multiply
    34,571x = 52,173 × 52,173
  4. Step 4: Simplify right side
    34,571x = 2,722,021,929
  5. Step 5: Solve for x
    x = 2,722,021,929/34,571
  6. Step 6: Final answer
    x = 78,737.15

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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.