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Finding the Third Proportional to 20,115 and 31,131

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Solution

The third proportional to 20,115 and 31,131 is: 48,179.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,115 : 31,131 = 31,131 : x
  2. Step 2: Convert to fraction form
    20,115/31,131 = 31,131/x
  3. Step 3: Cross multiply
    20,115x = 31,131 × 31,131
  4. Step 4: Simplify right side
    20,115x = 969,139,161
  5. Step 5: Solve for x
    x = 969,139,161/20,115
  6. Step 6: Final answer
    x = 48,179.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.