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Finding the Third Proportional to 625.11 and 1,350.47

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Solution

The third proportional to 625.11 and 1,350.47 is: 2,917.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.11 : 1,350.47 = 1,350.47 : x
  2. Step 2: Convert to fraction form
    625.11/1,350.47 = 1,350.47/x
  3. Step 3: Cross multiply
    625.11x = 1,350.47 × 1,350.47
  4. Step 4: Simplify right side
    625.11x = 1,823,765.84
  5. Step 5: Solve for x
    x = 1,823,765.84/625.11
  6. Step 6: Final answer
    x = 2,917.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.