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Finding the Third Proportional to 3,780.42 and 5,773.78

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Solution

The third proportional to 3,780.42 and 5,773.78 is: 8,818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.42 : 5,773.78 = 5,773.78 : x
  2. Step 2: Convert to fraction form
    3,780.42/5,773.78 = 5,773.78/x
  3. Step 3: Cross multiply
    3,780.42x = 5,773.78 × 5,773.78
  4. Step 4: Simplify right side
    3,780.42x = 33,336,549.92
  5. Step 5: Solve for x
    x = 33,336,549.92/3,780.42
  6. Step 6: Final answer
    x = 8,818.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.