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Finding the Third Proportional to 8,081 and 17,665

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Solution

The third proportional to 8,081 and 17,665 is: 38,615.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,081 : 17,665 = 17,665 : x
  2. Step 2: Convert to fraction form
    8,081/17,665 = 17,665/x
  3. Step 3: Cross multiply
    8,081x = 17,665 × 17,665
  4. Step 4: Simplify right side
    8,081x = 312,052,225
  5. Step 5: Solve for x
    x = 312,052,225/8,081
  6. Step 6: Final answer
    x = 38,615.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.