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Finding the Third Proportional to 3,836.53 and 5,924.81

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Solution

The third proportional to 3,836.53 and 5,924.81 is: 9,149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.53 : 5,924.81 = 5,924.81 : x
  2. Step 2: Convert to fraction form
    3,836.53/5,924.81 = 5,924.81/x
  3. Step 3: Cross multiply
    3,836.53x = 5,924.81 × 5,924.81
  4. Step 4: Simplify right side
    3,836.53x = 35,103,403.16
  5. Step 5: Solve for x
    x = 35,103,403.16/3,836.53
  6. Step 6: Final answer
    x = 9,149.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.