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Finding the Third Proportional to 2,540.53 and 3,859.73

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Solution

The third proportional to 2,540.53 and 3,859.73 is: 5,863.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.53 : 3,859.73 = 3,859.73 : x
  2. Step 2: Convert to fraction form
    2,540.53/3,859.73 = 3,859.73/x
  3. Step 3: Cross multiply
    2,540.53x = 3,859.73 × 3,859.73
  4. Step 4: Simplify right side
    2,540.53x = 14,897,549.45
  5. Step 5: Solve for x
    x = 14,897,549.45/2,540.53
  6. Step 6: Final answer
    x = 5,863.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.