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Finding the Third Proportional to 34,218 and 52,571

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Solution

The third proportional to 34,218 and 52,571 is: 80,767.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,218 : 52,571 = 52,571 : x
  2. Step 2: Convert to fraction form
    34,218/52,571 = 52,571/x
  3. Step 3: Cross multiply
    34,218x = 52,571 × 52,571
  4. Step 4: Simplify right side
    34,218x = 2,763,710,041
  5. Step 5: Solve for x
    x = 2,763,710,041/34,218
  6. Step 6: Final answer
    x = 80,767.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.