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Finding the Third Proportional to 17,684 and 38,424

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Solution

The third proportional to 17,684 and 38,424 is: 83,488.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,684 : 38,424 = 38,424 : x
  2. Step 2: Convert to fraction form
    17,684/38,424 = 38,424/x
  3. Step 3: Cross multiply
    17,684x = 38,424 × 38,424
  4. Step 4: Simplify right side
    17,684x = 1,476,403,776
  5. Step 5: Solve for x
    x = 1,476,403,776/17,684
  6. Step 6: Final answer
    x = 83,488.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.