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Finding the Third Proportional to 40,885 and 55,222

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Solution

The third proportional to 40,885 and 55,222 is: 74,586.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,885 : 55,222 = 55,222 : x
  2. Step 2: Convert to fraction form
    40,885/55,222 = 55,222/x
  3. Step 3: Cross multiply
    40,885x = 55,222 × 55,222
  4. Step 4: Simplify right side
    40,885x = 3,049,469,284
  5. Step 5: Solve for x
    x = 3,049,469,284/40,885
  6. Step 6: Final answer
    x = 74,586.51

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.