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Finding the Third Proportional to 31,108 and 41,910

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Solution

The third proportional to 31,108 and 41,910 is: 56,462.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,108 : 41,910 = 41,910 : x
  2. Step 2: Convert to fraction form
    31,108/41,910 = 41,910/x
  3. Step 3: Cross multiply
    31,108x = 41,910 × 41,910
  4. Step 4: Simplify right side
    31,108x = 1,756,448,100
  5. Step 5: Solve for x
    x = 1,756,448,100/31,108
  6. Step 6: Final answer
    x = 56,462.91

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.