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Finding the Third Proportional to 2,407.13 and 3,149.25

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Solution

The third proportional to 2,407.13 and 3,149.25 is: 4,120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.13 : 3,149.25 = 3,149.25 : x
  2. Step 2: Convert to fraction form
    2,407.13/3,149.25 = 3,149.25/x
  3. Step 3: Cross multiply
    2,407.13x = 3,149.25 × 3,149.25
  4. Step 4: Simplify right side
    2,407.13x = 9,917,775.56
  5. Step 5: Solve for x
    x = 9,917,775.56/2,407.13
  6. Step 6: Final answer
    x = 4,120.17

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.