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Finding the Third Proportional to 2,414.25 and 5,037.75

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Solution

The third proportional to 2,414.25 and 5,037.75 is: 10,512.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.25 : 5,037.75 = 5,037.75 : x
  2. Step 2: Convert to fraction form
    2,414.25/5,037.75 = 5,037.75/x
  3. Step 3: Cross multiply
    2,414.25x = 5,037.75 × 5,037.75
  4. Step 4: Simplify right side
    2,414.25x = 25,378,925.06
  5. Step 5: Solve for x
    x = 25,378,925.06/2,414.25
  6. Step 6: Final answer
    x = 10,512.14

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.