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Finding the Third Proportional to 20,126 and 31,108

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Solution

The third proportional to 20,126 and 31,108 is: 48,082.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,126 : 31,108 = 31,108 : x
  2. Step 2: Convert to fraction form
    20,126/31,108 = 31,108/x
  3. Step 3: Cross multiply
    20,126x = 31,108 × 31,108
  4. Step 4: Simplify right side
    20,126x = 967,707,664
  5. Step 5: Solve for x
    x = 967,707,664/20,126
  6. Step 6: Final answer
    x = 48,082.46

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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.