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Finding the Third Proportional to 31,753 and 50,237

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Solution

The third proportional to 31,753 and 50,237 is: 79,480.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,753 : 50,237 = 50,237 : x
  2. Step 2: Convert to fraction form
    31,753/50,237 = 50,237/x
  3. Step 3: Cross multiply
    31,753x = 50,237 × 50,237
  4. Step 4: Simplify right side
    31,753x = 2,523,756,169
  5. Step 5: Solve for x
    x = 2,523,756,169/31,753
  6. Step 6: Final answer
    x = 79,480.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.