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Finding the Third Proportional to 8,098 and 17,437

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Solution

The third proportional to 8,098 and 17,437 is: 37,546.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098 : 17,437 = 17,437 : x
  2. Step 2: Convert to fraction form
    8,098/17,437 = 17,437/x
  3. Step 3: Cross multiply
    8,098x = 17,437 × 17,437
  4. Step 4: Simplify right side
    8,098x = 304,048,969
  5. Step 5: Solve for x
    x = 304,048,969/8,098
  6. Step 6: Final answer
    x = 37,546.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.