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Finding the Third Proportional to 17,662 and 38,239

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Solution

The third proportional to 17,662 and 38,239 is: 82,789.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,662 : 38,239 = 38,239 : x
  2. Step 2: Convert to fraction form
    17,662/38,239 = 38,239/x
  3. Step 3: Cross multiply
    17,662x = 38,239 × 38,239
  4. Step 4: Simplify right side
    17,662x = 1,462,221,121
  5. Step 5: Solve for x
    x = 1,462,221,121/17,662
  6. Step 6: Final answer
    x = 82,789.10

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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.