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Finding the Third Proportional to 41,224 and 60,108

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Solution

The third proportional to 41,224 and 60,108 is: 87,642.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,224 : 60,108 = 60,108 : x
  2. Step 2: Convert to fraction form
    41,224/60,108 = 60,108/x
  3. Step 3: Cross multiply
    41,224x = 60,108 × 60,108
  4. Step 4: Simplify right side
    41,224x = 3,612,971,664
  5. Step 5: Solve for x
    x = 3,612,971,664/41,224
  6. Step 6: Final answer
    x = 87,642.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.