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Finding the Third Proportional to 31,240.69 and 50,323.78

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Solution

The third proportional to 31,240.69 and 50,323.78 is: 81,063.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,240.69 : 50,323.78 = 50,323.78 : x
  2. Step 2: Convert to fraction form
    31,240.69/50,323.78 = 50,323.78/x
  3. Step 3: Cross multiply
    31,240.69x = 50,323.78 × 50,323.78
  4. Step 4: Simplify right side
    31,240.69x = 2,532,482,959.30
  5. Step 5: Solve for x
    x = 2,532,482,959.30/31,240.69
  6. Step 6: Final answer
    x = 81,063.61

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.