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Finding the Third Proportional to 775.88 and 1,593.75

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Solution

The third proportional to 775.88 and 1,593.75 is: 3,273.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.88 : 1,593.75 = 1,593.75 : x
  2. Step 2: Convert to fraction form
    775.88/1,593.75 = 1,593.75/x
  3. Step 3: Cross multiply
    775.88x = 1,593.75 × 1,593.75
  4. Step 4: Simplify right side
    775.88x = 2,540,039.06
  5. Step 5: Solve for x
    x = 2,540,039.06/775.88
  6. Step 6: Final answer
    x = 3,273.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.