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Finding the Third Proportional to 44.05 and 95.31

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Solution

The third proportional to 44.05 and 95.31 is: 206.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.05 : 95.31 = 95.31 : x
  2. Step 2: Convert to fraction form
    44.05/95.31 = 95.31/x
  3. Step 3: Cross multiply
    44.05x = 95.31 × 95.31
  4. Step 4: Simplify right side
    44.05x = 9,083.52
  5. Step 5: Solve for x
    x = 9,083.52/44.05
  6. Step 6: Final answer
    x = 206.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.