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Finding the Third Proportional to 2,682.28 and 4,144.92

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Solution

The third proportional to 2,682.28 and 4,144.92 is: 6,405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.28 : 4,144.92 = 4,144.92 : x
  2. Step 2: Convert to fraction form
    2,682.28/4,144.92 = 4,144.92/x
  3. Step 3: Cross multiply
    2,682.28x = 4,144.92 × 4,144.92
  4. Step 4: Simplify right side
    2,682.28x = 17,180,377.35
  5. Step 5: Solve for x
    x = 17,180,377.35/2,682.28
  6. Step 6: Final answer
    x = 6,405.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.