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Finding the Third Proportional to 17,671 and 38,459

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Solution

The third proportional to 17,671 and 38,459 is: 83,701.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671 : 38,459 = 38,459 : x
  2. Step 2: Convert to fraction form
    17,671/38,459 = 38,459/x
  3. Step 3: Cross multiply
    17,671x = 38,459 × 38,459
  4. Step 4: Simplify right side
    17,671x = 1,479,094,681
  5. Step 5: Solve for x
    x = 1,479,094,681/17,671
  6. Step 6: Final answer
    x = 83,701.81

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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.