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Finding the Third Proportional to 3,350.81 and 5,098.22

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Solution

The third proportional to 3,350.81 and 5,098.22 is: 7,756.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,350.81 : 5,098.22 = 5,098.22 : x
  2. Step 2: Convert to fraction form
    3,350.81/5,098.22 = 5,098.22/x
  3. Step 3: Cross multiply
    3,350.81x = 5,098.22 × 5,098.22
  4. Step 4: Simplify right side
    3,350.81x = 25,991,834.42
  5. Step 5: Solve for x
    x = 25,991,834.42/3,350.81
  6. Step 6: Final answer
    x = 7,756.88

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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.