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Finding the Third Proportional to 50,790.38 and 77,474.81

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Solution

The third proportional to 50,790.38 and 77,474.81 is: 118,178.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,790.38 : 77,474.81 = 77,474.81 : x
  2. Step 2: Convert to fraction form
    50,790.38/77,474.81 = 77,474.81/x
  3. Step 3: Cross multiply
    50,790.38x = 77,474.81 × 77,474.81
  4. Step 4: Simplify right side
    50,790.38x = 6,002,346,571.91
  5. Step 5: Solve for x
    x = 6,002,346,571.91/50,790.38
  6. Step 6: Final answer
    x = 118,178.82

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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.