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Finding the Third Proportional to 775.50 and 1,724.06

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Solution

The third proportional to 775.50 and 1,724.06 is: 3,832.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.50 : 1,724.06 = 1,724.06 : x
  2. Step 2: Convert to fraction form
    775.50/1,724.06 = 1,724.06/x
  3. Step 3: Cross multiply
    775.50x = 1,724.06 × 1,724.06
  4. Step 4: Simplify right side
    775.50x = 2,972,391.50
  5. Step 5: Solve for x
    x = 2,972,391.50/775.50
  6. Step 6: Final answer
    x = 3,832.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.