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Finding the Third Proportional to 1,261.97 and 2,575.41

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Solution

The third proportional to 1,261.97 and 2,575.41 is: 5,255.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.97 : 2,575.41 = 2,575.41 : x
  2. Step 2: Convert to fraction form
    1,261.97/2,575.41 = 2,575.41/x
  3. Step 3: Cross multiply
    1,261.97x = 2,575.41 × 2,575.41
  4. Step 4: Simplify right side
    1,261.97x = 6,632,717.35
  5. Step 5: Solve for x
    x = 6,632,717.35/1,261.97
  6. Step 6: Final answer
    x = 5,255.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.