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Finding the Third Proportional to 44.77 and 97.61

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Solution

The third proportional to 44.77 and 97.61 is: 212.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.77 : 97.61 = 97.61 : x
  2. Step 2: Convert to fraction form
    44.77/97.61 = 97.61/x
  3. Step 3: Cross multiply
    44.77x = 97.61 × 97.61
  4. Step 4: Simplify right side
    44.77x = 9,527.97
  5. Step 5: Solve for x
    x = 9,527.97/44.77
  6. Step 6: Final answer
    x = 212.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.