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Finding the Third Proportional to 30,761.09 and 50,229.81

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Solution

The third proportional to 30,761.09 and 50,229.81 is: 82,020.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,761.09 : 50,229.81 = 50,229.81 : x
  2. Step 2: Convert to fraction form
    30,761.09/50,229.81 = 50,229.81/x
  3. Step 3: Cross multiply
    30,761.09x = 50,229.81 × 50,229.81
  4. Step 4: Simplify right side
    30,761.09x = 2,523,033,671.36
  5. Step 5: Solve for x
    x = 2,523,033,671.36/30,761.09
  6. Step 6: Final answer
    x = 82,020.28

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.