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Finding the Third Proportional to 2,755.08 and 4,138.71

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Solution

The third proportional to 2,755.08 and 4,138.71 is: 6,217.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.08 : 4,138.71 = 4,138.71 : x
  2. Step 2: Convert to fraction form
    2,755.08/4,138.71 = 4,138.71/x
  3. Step 3: Cross multiply
    2,755.08x = 4,138.71 × 4,138.71
  4. Step 4: Simplify right side
    2,755.08x = 17,128,882.80
  5. Step 5: Solve for x
    x = 17,128,882.80/2,755.08
  6. Step 6: Final answer
    x = 6,217.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.