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Finding the Third Proportional to 2,410.17 and 5,257.83

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Solution

The third proportional to 2,410.17 and 5,257.83 is: 11,470.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.17 : 5,257.83 = 5,257.83 : x
  2. Step 2: Convert to fraction form
    2,410.17/5,257.83 = 5,257.83/x
  3. Step 3: Cross multiply
    2,410.17x = 5,257.83 × 5,257.83
  4. Step 4: Simplify right side
    2,410.17x = 27,644,756.59
  5. Step 5: Solve for x
    x = 27,644,756.59/2,410.17
  6. Step 6: Final answer
    x = 11,470.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.