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Finding the Third Proportional to 41,214 and 58,221

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Solution

The third proportional to 41,214 and 58,221 is: 82,245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,214 : 58,221 = 58,221 : x
  2. Step 2: Convert to fraction form
    41,214/58,221 = 58,221/x
  3. Step 3: Cross multiply
    41,214x = 58,221 × 58,221
  4. Step 4: Simplify right side
    41,214x = 3,389,684,841
  5. Step 5: Solve for x
    x = 3,389,684,841/41,214
  6. Step 6: Final answer
    x = 82,245.96

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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.