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Finding the Third Proportional to 29,878.50 and 41,874

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Solution

The third proportional to 29,878.50 and 41,874 is: 58,685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,878.50 : 41,874 = 41,874 : x
  2. Step 2: Convert to fraction form
    29,878.50/41,874 = 41,874/x
  3. Step 3: Cross multiply
    29,878.50x = 41,874 × 41,874
  4. Step 4: Simplify right side
    29,878.50x = 1,753,431,876
  5. Step 5: Solve for x
    x = 1,753,431,876/29,878.50
  6. Step 6: Final answer
    x = 58,685.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.