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Finding the Third Proportional to 8,534 and 17,493

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Solution

The third proportional to 8,534 and 17,493 is: 35,857.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534 : 17,493 = 17,493 : x
  2. Step 2: Convert to fraction form
    8,534/17,493 = 17,493/x
  3. Step 3: Cross multiply
    8,534x = 17,493 × 17,493
  4. Step 4: Simplify right side
    8,534x = 306,005,049
  5. Step 5: Solve for x
    x = 306,005,049/8,534
  6. Step 6: Final answer
    x = 35,857.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.