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Finding the Third Proportional to 801.38 and 2,024.75

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Solution

The third proportional to 801.38 and 2,024.75 is: 5,115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.38 : 2,024.75 = 2,024.75 : x
  2. Step 2: Convert to fraction form
    801.38/2,024.75 = 2,024.75/x
  3. Step 3: Cross multiply
    801.38x = 2,024.75 × 2,024.75
  4. Step 4: Simplify right side
    801.38x = 4,099,612.56
  5. Step 5: Solve for x
    x = 4,099,612.56/801.38
  6. Step 6: Final answer
    x = 5,115.72

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.