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Finding the Third Proportional to 2,332.13 and 5,149.41

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Solution

The third proportional to 2,332.13 and 5,149.41 is: 11,370.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.13 : 5,149.41 = 5,149.41 : x
  2. Step 2: Convert to fraction form
    2,332.13/5,149.41 = 5,149.41/x
  3. Step 3: Cross multiply
    2,332.13x = 5,149.41 × 5,149.41
  4. Step 4: Simplify right side
    2,332.13x = 26,516,384.73
  5. Step 5: Solve for x
    x = 26,516,384.73/2,332.13
  6. Step 6: Final answer
    x = 11,370.05

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.