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Finding the Third Proportional to 8,202 and 17,571

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Solution

The third proportional to 8,202 and 17,571 is: 37,642.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202 : 17,571 = 17,571 : x
  2. Step 2: Convert to fraction form
    8,202/17,571 = 17,571/x
  3. Step 3: Cross multiply
    8,202x = 17,571 × 17,571
  4. Step 4: Simplify right side
    8,202x = 308,740,041
  5. Step 5: Solve for x
    x = 308,740,041/8,202
  6. Step 6: Final answer
    x = 37,642.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.