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Finding the Third Proportional to 2,463.75 and 5,519.81

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Solution

The third proportional to 2,463.75 and 5,519.81 is: 12,366.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.75 : 5,519.81 = 5,519.81 : x
  2. Step 2: Convert to fraction form
    2,463.75/5,519.81 = 5,519.81/x
  3. Step 3: Cross multiply
    2,463.75x = 5,519.81 × 5,519.81
  4. Step 4: Simplify right side
    2,463.75x = 30,468,330.04
  5. Step 5: Solve for x
    x = 30,468,330.04/2,463.75
  6. Step 6: Final answer
    x = 12,366.65

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.