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Finding the Third Proportional to 2,299.41 and 3,456.14

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Solution

The third proportional to 2,299.41 and 3,456.14 is: 5,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.41 : 3,456.14 = 3,456.14 : x
  2. Step 2: Convert to fraction form
    2,299.41/3,456.14 = 3,456.14/x
  3. Step 3: Cross multiply
    2,299.41x = 3,456.14 × 3,456.14
  4. Step 4: Simplify right side
    2,299.41x = 11,944,908.02
  5. Step 5: Solve for x
    x = 11,944,908.02/2,299.41
  6. Step 6: Final answer
    x = 5,194.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.