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Finding the Third Proportional to 39,598 and 82,461

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Solution

The third proportional to 39,598 and 82,461 is: 171,721.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,598 : 82,461 = 82,461 : x
  2. Step 2: Convert to fraction form
    39,598/82,461 = 82,461/x
  3. Step 3: Cross multiply
    39,598x = 82,461 × 82,461
  4. Step 4: Simplify right side
    39,598x = 6,799,816,521
  5. Step 5: Solve for x
    x = 6,799,816,521/39,598
  6. Step 6: Final answer
    x = 171,721.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.