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Finding the Third Proportional to 41,856 and 59,504

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Solution

The third proportional to 41,856 and 59,504 is: 84,593.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,856 : 59,504 = 59,504 : x
  2. Step 2: Convert to fraction form
    41,856/59,504 = 59,504/x
  3. Step 3: Cross multiply
    41,856x = 59,504 × 59,504
  4. Step 4: Simplify right side
    41,856x = 3,540,726,016
  5. Step 5: Solve for x
    x = 3,540,726,016/41,856
  6. Step 6: Final answer
    x = 84,593.03

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.