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Finding the Third Proportional to 4,156.31 and 5,773.78

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Solution

The third proportional to 4,156.31 and 5,773.78 is: 8,020.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.31 : 5,773.78 = 5,773.78 : x
  2. Step 2: Convert to fraction form
    4,156.31/5,773.78 = 5,773.78/x
  3. Step 3: Cross multiply
    4,156.31x = 5,773.78 × 5,773.78
  4. Step 4: Simplify right side
    4,156.31x = 33,336,549.92
  5. Step 5: Solve for x
    x = 33,336,549.92/4,156.31
  6. Step 6: Final answer
    x = 8,020.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.