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Finding the Third Proportional to 41,886 and 58,211

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Solution

The third proportional to 41,886 and 58,211 is: 80,898.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,886 : 58,211 = 58,211 : x
  2. Step 2: Convert to fraction form
    41,886/58,211 = 58,211/x
  3. Step 3: Cross multiply
    41,886x = 58,211 × 58,211
  4. Step 4: Simplify right side
    41,886x = 3,388,520,521
  5. Step 5: Solve for x
    x = 3,388,520,521/41,886
  6. Step 6: Final answer
    x = 80,898.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.