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Finding the Third Proportional to 44.81 and 95.81

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Solution

The third proportional to 44.81 and 95.81 is: 204.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.81 : 95.81 = 95.81 : x
  2. Step 2: Convert to fraction form
    44.81/95.81 = 95.81/x
  3. Step 3: Cross multiply
    44.81x = 95.81 × 95.81
  4. Step 4: Simplify right side
    44.81x = 9,180.04
  5. Step 5: Solve for x
    x = 9,180.04/44.81
  6. Step 6: Final answer
    x = 204.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.