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Finding the Third Proportional to 17,604 and 38,367

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Solution

The third proportional to 17,604 and 38,367 is: 83,618.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,604 : 38,367 = 38,367 : x
  2. Step 2: Convert to fraction form
    17,604/38,367 = 38,367/x
  3. Step 3: Cross multiply
    17,604x = 38,367 × 38,367
  4. Step 4: Simplify right side
    17,604x = 1,472,026,689
  5. Step 5: Solve for x
    x = 1,472,026,689/17,604
  6. Step 6: Final answer
    x = 83,618.88

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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.