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Finding the Third Proportional to 3,720.66 and 5,050.97

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Solution

The third proportional to 3,720.66 and 5,050.97 is: 6,856.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.66 : 5,050.97 = 5,050.97 : x
  2. Step 2: Convert to fraction form
    3,720.66/5,050.97 = 5,050.97/x
  3. Step 3: Cross multiply
    3,720.66x = 5,050.97 × 5,050.97
  4. Step 4: Simplify right side
    3,720.66x = 25,512,285.31
  5. Step 5: Solve for x
    x = 25,512,285.31/3,720.66
  6. Step 6: Final answer
    x = 6,856.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.