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Finding the Third Proportional to 2,503.41 and 3,891.80

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Solution

The third proportional to 2,503.41 and 3,891.80 is: 6,050.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.41 : 3,891.80 = 3,891.80 : x
  2. Step 2: Convert to fraction form
    2,503.41/3,891.80 = 3,891.80/x
  3. Step 3: Cross multiply
    2,503.41x = 3,891.80 × 3,891.80
  4. Step 4: Simplify right side
    2,503.41x = 15,146,082.92
  5. Step 5: Solve for x
    x = 15,146,082.92/2,503.41
  6. Step 6: Final answer
    x = 6,050.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.