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Finding the Third Proportional to 2,551.12 and 3,940.37

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Solution

The third proportional to 2,551.12 and 3,940.37 is: 6,086.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.12 : 3,940.37 = 3,940.37 : x
  2. Step 2: Convert to fraction form
    2,551.12/3,940.37 = 3,940.37/x
  3. Step 3: Cross multiply
    2,551.12x = 3,940.37 × 3,940.37
  4. Step 4: Simplify right side
    2,551.12x = 15,526,478.18
  5. Step 5: Solve for x
    x = 15,526,478.18/2,551.12
  6. Step 6: Final answer
    x = 6,086.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.