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Finding the Third Proportional to 1,581.75 and 2,252.63

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Solution

The third proportional to 1,581.75 and 2,252.63 is: 3,208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.75 : 2,252.63 = 2,252.63 : x
  2. Step 2: Convert to fraction form
    1,581.75/2,252.63 = 2,252.63/x
  3. Step 3: Cross multiply
    1,581.75x = 2,252.63 × 2,252.63
  4. Step 4: Simplify right side
    1,581.75x = 5,074,319.39
  5. Step 5: Solve for x
    x = 5,074,319.39/1,581.75
  6. Step 6: Final answer
    x = 3,208.04

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.