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Finding the Third Proportional to 30,891.38 and 50,103.56

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Solution

The third proportional to 30,891.38 and 50,103.56 is: 81,264.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891.38 : 50,103.56 = 50,103.56 : x
  2. Step 2: Convert to fraction form
    30,891.38/50,103.56 = 50,103.56/x
  3. Step 3: Cross multiply
    30,891.38x = 50,103.56 × 50,103.56
  4. Step 4: Simplify right side
    30,891.38x = 2,510,366,975.19
  5. Step 5: Solve for x
    x = 2,510,366,975.19/30,891.38
  6. Step 6: Final answer
    x = 81,264.33

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.