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Finding the Third Proportional to 1,486.41 and 2,224.78

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Solution

The third proportional to 1,486.41 and 2,224.78 is: 3,329.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.41 : 2,224.78 = 2,224.78 : x
  2. Step 2: Convert to fraction form
    1,486.41/2,224.78 = 2,224.78/x
  3. Step 3: Cross multiply
    1,486.41x = 2,224.78 × 2,224.78
  4. Step 4: Simplify right side
    1,486.41x = 4,949,651.61
  5. Step 5: Solve for x
    x = 4,949,651.61/1,486.41
  6. Step 6: Final answer
    x = 3,329.95

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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.