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Finding the Third Proportional to 2,370.52 and 5,149.83

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Solution

The third proportional to 2,370.52 and 5,149.83 is: 11,187.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.52 : 5,149.83 = 5,149.83 : x
  2. Step 2: Convert to fraction form
    2,370.52/5,149.83 = 5,149.83/x
  3. Step 3: Cross multiply
    2,370.52x = 5,149.83 × 5,149.83
  4. Step 4: Simplify right side
    2,370.52x = 26,520,729.72
  5. Step 5: Solve for x
    x = 26,520,729.72/2,370.52
  6. Step 6: Final answer
    x = 11,187.75

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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.