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Finding the Third Proportional to 2,540.11 and 3,844.34

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Solution

The third proportional to 2,540.11 and 3,844.34 is: 5,818.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.11 : 3,844.34 = 3,844.34 : x
  2. Step 2: Convert to fraction form
    2,540.11/3,844.34 = 3,844.34/x
  3. Step 3: Cross multiply
    2,540.11x = 3,844.34 × 3,844.34
  4. Step 4: Simplify right side
    2,540.11x = 14,778,918.80
  5. Step 5: Solve for x
    x = 14,778,918.80/2,540.11
  6. Step 6: Final answer
    x = 5,818.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.