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Finding the Third Proportional to 1,414.13 and 3,044.25

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Solution

The third proportional to 1,414.13 and 3,044.25 is: 6,553.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.13 : 3,044.25 = 3,044.25 : x
  2. Step 2: Convert to fraction form
    1,414.13/3,044.25 = 3,044.25/x
  3. Step 3: Cross multiply
    1,414.13x = 3,044.25 × 3,044.25
  4. Step 4: Simplify right side
    1,414.13x = 9,267,458.06
  5. Step 5: Solve for x
    x = 9,267,458.06/1,414.13
  6. Step 6: Final answer
    x = 6,553.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.