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Finding the Third Proportional to 41,864 and 58,558

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Solution

The third proportional to 41,864 and 58,558 is: 81,909.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,864 : 58,558 = 58,558 : x
  2. Step 2: Convert to fraction form
    41,864/58,558 = 58,558/x
  3. Step 3: Cross multiply
    41,864x = 58,558 × 58,558
  4. Step 4: Simplify right side
    41,864x = 3,429,039,364
  5. Step 5: Solve for x
    x = 3,429,039,364/41,864
  6. Step 6: Final answer
    x = 81,909.02

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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.