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Finding the Third Proportional to 2,404.69 and 5,363.72

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Solution

The third proportional to 2,404.69 and 5,363.72 is: 11,963.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.69 : 5,363.72 = 5,363.72 : x
  2. Step 2: Convert to fraction form
    2,404.69/5,363.72 = 5,363.72/x
  3. Step 3: Cross multiply
    2,404.69x = 5,363.72 × 5,363.72
  4. Step 4: Simplify right side
    2,404.69x = 28,769,478.83
  5. Step 5: Solve for x
    x = 28,769,478.83/2,404.69
  6. Step 6: Final answer
    x = 11,963.92

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.