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Finding the Third Proportional to 2,177.50 and 3,311.75

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Solution

The third proportional to 2,177.50 and 3,311.75 is: 5,036.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.50 : 3,311.75 = 3,311.75 : x
  2. Step 2: Convert to fraction form
    2,177.50/3,311.75 = 3,311.75/x
  3. Step 3: Cross multiply
    2,177.50x = 3,311.75 × 3,311.75
  4. Step 4: Simplify right side
    2,177.50x = 10,967,688.06
  5. Step 5: Solve for x
    x = 10,967,688.06/2,177.50
  6. Step 6: Final answer
    x = 5,036.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.