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Finding the Third Proportional to 8,534 and 18,098

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Solution

The third proportional to 8,534 and 18,098 is: 38,380.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534 : 18,098 = 18,098 : x
  2. Step 2: Convert to fraction form
    8,534/18,098 = 18,098/x
  3. Step 3: Cross multiply
    8,534x = 18,098 × 18,098
  4. Step 4: Simplify right side
    8,534x = 327,537,604
  5. Step 5: Solve for x
    x = 327,537,604/8,534
  6. Step 6: Final answer
    x = 38,380.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.