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Finding the Third Proportional to 1,229.91 and 2,625.19

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Solution

The third proportional to 1,229.91 and 2,625.19 is: 5,603.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.91 : 2,625.19 = 2,625.19 : x
  2. Step 2: Convert to fraction form
    1,229.91/2,625.19 = 2,625.19/x
  3. Step 3: Cross multiply
    1,229.91x = 2,625.19 × 2,625.19
  4. Step 4: Simplify right side
    1,229.91x = 6,891,609.41
  5. Step 5: Solve for x
    x = 6,891,609.41/1,229.91
  6. Step 6: Final answer
    x = 5,603.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.