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Finding the Third Proportional to 31,190 and 43,926

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Solution

The third proportional to 31,190 and 43,926 is: 61,862.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,190 : 43,926 = 43,926 : x
  2. Step 2: Convert to fraction form
    31,190/43,926 = 43,926/x
  3. Step 3: Cross multiply
    31,190x = 43,926 × 43,926
  4. Step 4: Simplify right side
    31,190x = 1,929,493,476
  5. Step 5: Solve for x
    x = 1,929,493,476/31,190
  6. Step 6: Final answer
    x = 61,862.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.