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Finding the Third Proportional to 2,581.88 and 3,751.31

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Solution

The third proportional to 2,581.88 and 3,751.31 is: 5,450.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.88 : 3,751.31 = 3,751.31 : x
  2. Step 2: Convert to fraction form
    2,581.88/3,751.31 = 3,751.31/x
  3. Step 3: Cross multiply
    2,581.88x = 3,751.31 × 3,751.31
  4. Step 4: Simplify right side
    2,581.88x = 14,072,345.47
  5. Step 5: Solve for x
    x = 14,072,345.47/2,581.88
  6. Step 6: Final answer
    x = 5,450.44

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.