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Finding the Third Proportional to 3,717.14 and 5,976.28

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Solution

The third proportional to 3,717.14 and 5,976.28 is: 9,608.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.14 : 5,976.28 = 5,976.28 : x
  2. Step 2: Convert to fraction form
    3,717.14/5,976.28 = 5,976.28/x
  3. Step 3: Cross multiply
    3,717.14x = 5,976.28 × 5,976.28
  4. Step 4: Simplify right side
    3,717.14x = 35,715,937.58
  5. Step 5: Solve for x
    x = 35,715,937.58/3,717.14
  6. Step 6: Final answer
    x = 9,608.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.