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Finding the Third Proportional to 17,538 and 38,246

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Solution

The third proportional to 17,538 and 38,246 is: 83,404.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538 : 38,246 = 38,246 : x
  2. Step 2: Convert to fraction form
    17,538/38,246 = 38,246/x
  3. Step 3: Cross multiply
    17,538x = 38,246 × 38,246
  4. Step 4: Simplify right side
    17,538x = 1,462,756,516
  5. Step 5: Solve for x
    x = 1,462,756,516/17,538
  6. Step 6: Final answer
    x = 83,404.98

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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.