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Finding the Third Proportional to 2,332.76 and 5,404.43

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Solution

The third proportional to 2,332.76 and 5,404.43 is: 12,520.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.76 : 5,404.43 = 5,404.43 : x
  2. Step 2: Convert to fraction form
    2,332.76/5,404.43 = 5,404.43/x
  3. Step 3: Cross multiply
    2,332.76x = 5,404.43 × 5,404.43
  4. Step 4: Simplify right side
    2,332.76x = 29,207,860.25
  5. Step 5: Solve for x
    x = 29,207,860.25/2,332.76
  6. Step 6: Final answer
    x = 12,520.74

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.