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Finding the Third Proportional to 3,702.27 and 7,997.17

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Solution

The third proportional to 3,702.27 and 7,997.17 is: 17,274.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.27 : 7,997.17 = 7,997.17 : x
  2. Step 2: Convert to fraction form
    3,702.27/7,997.17 = 7,997.17/x
  3. Step 3: Cross multiply
    3,702.27x = 7,997.17 × 7,997.17
  4. Step 4: Simplify right side
    3,702.27x = 63,954,695.52
  5. Step 5: Solve for x
    x = 63,954,695.52/3,702.27
  6. Step 6: Final answer
    x = 17,274.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.