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Finding the Third Proportional to 17,102 and 38,598

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Solution

The third proportional to 17,102 and 38,598 is: 87,112.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102 : 38,598 = 38,598 : x
  2. Step 2: Convert to fraction form
    17,102/38,598 = 38,598/x
  3. Step 3: Cross multiply
    17,102x = 38,598 × 38,598
  4. Step 4: Simplify right side
    17,102x = 1,489,805,604
  5. Step 5: Solve for x
    x = 1,489,805,604/17,102
  6. Step 6: Final answer
    x = 87,112.95

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.