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Finding the Third Proportional to 31,123 and 41,932

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Solution

The third proportional to 31,123 and 41,932 is: 56,494.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,123 : 41,932 = 41,932 : x
  2. Step 2: Convert to fraction form
    31,123/41,932 = 41,932/x
  3. Step 3: Cross multiply
    31,123x = 41,932 × 41,932
  4. Step 4: Simplify right side
    31,123x = 1,758,292,624
  5. Step 5: Solve for x
    x = 1,758,292,624/31,123
  6. Step 6: Final answer
    x = 56,494.96

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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.