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Finding the Third Proportional to 17,675 and 38,461

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Solution

The third proportional to 17,675 and 38,461 is: 83,691.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,675 : 38,461 = 38,461 : x
  2. Step 2: Convert to fraction form
    17,675/38,461 = 38,461/x
  3. Step 3: Cross multiply
    17,675x = 38,461 × 38,461
  4. Step 4: Simplify right side
    17,675x = 1,479,248,521
  5. Step 5: Solve for x
    x = 1,479,248,521/17,675
  6. Step 6: Final answer
    x = 83,691.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.