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Finding the Third Proportional to 1,414.13 and 2,121.19

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Solution

The third proportional to 1,414.13 and 2,121.19 is: 3,181.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.13 : 2,121.19 = 2,121.19 : x
  2. Step 2: Convert to fraction form
    1,414.13/2,121.19 = 2,121.19/x
  3. Step 3: Cross multiply
    1,414.13x = 2,121.19 × 2,121.19
  4. Step 4: Simplify right side
    1,414.13x = 4,499,436.41
  5. Step 5: Solve for x
    x = 4,499,436.41/1,414.13
  6. Step 6: Final answer
    x = 3,181.78

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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.