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Finding the Third Proportional to 31,960 and 50,026

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Solution

The third proportional to 31,960 and 50,026 is: 78,304.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,960 : 50,026 = 50,026 : x
  2. Step 2: Convert to fraction form
    31,960/50,026 = 50,026/x
  3. Step 3: Cross multiply
    31,960x = 50,026 × 50,026
  4. Step 4: Simplify right side
    31,960x = 2,502,600,676
  5. Step 5: Solve for x
    x = 2,502,600,676/31,960
  6. Step 6: Final answer
    x = 78,304.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.