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Finding the Third Proportional to 2,414.81 and 5,140.97

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Solution

The third proportional to 2,414.81 and 5,140.97 is: 10,944.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.81 : 5,140.97 = 5,140.97 : x
  2. Step 2: Convert to fraction form
    2,414.81/5,140.97 = 5,140.97/x
  3. Step 3: Cross multiply
    2,414.81x = 5,140.97 × 5,140.97
  4. Step 4: Simplify right side
    2,414.81x = 26,429,559.69
  5. Step 5: Solve for x
    x = 26,429,559.69/2,414.81
  6. Step 6: Final answer
    x = 10,944.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.