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Finding the Third Proportional to 41,840 and 58,655

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Solution

The third proportional to 41,840 and 58,655 is: 82,227.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,840 : 58,655 = 58,655 : x
  2. Step 2: Convert to fraction form
    41,840/58,655 = 58,655/x
  3. Step 3: Cross multiply
    41,840x = 58,655 × 58,655
  4. Step 4: Simplify right side
    41,840x = 3,440,409,025
  5. Step 5: Solve for x
    x = 3,440,409,025/41,840
  6. Step 6: Final answer
    x = 82,227.75

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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.