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Finding the Third Proportional to 8,065 and 17,512

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Solution

The third proportional to 8,065 and 17,512 is: 38,024.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065 : 17,512 = 17,512 : x
  2. Step 2: Convert to fraction form
    8,065/17,512 = 17,512/x
  3. Step 3: Cross multiply
    8,065x = 17,512 × 17,512
  4. Step 4: Simplify right side
    8,065x = 306,670,144
  5. Step 5: Solve for x
    x = 306,670,144/8,065
  6. Step 6: Final answer
    x = 38,024.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.