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Finding the Third Proportional to 3,777.94 and 5,657.06

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Solution

The third proportional to 3,777.94 and 5,657.06 is: 8,470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.94 : 5,657.06 = 5,657.06 : x
  2. Step 2: Convert to fraction form
    3,777.94/5,657.06 = 5,657.06/x
  3. Step 3: Cross multiply
    3,777.94x = 5,657.06 × 5,657.06
  4. Step 4: Simplify right side
    3,777.94x = 32,002,356.13
  5. Step 5: Solve for x
    x = 32,002,356.13/3,777.94
  6. Step 6: Final answer
    x = 8,470.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.