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Finding the Third Proportional to 44.30 and 82.27

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Solution

The third proportional to 44.30 and 82.27 is: 152.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.30 : 82.27 = 82.27 : x
  2. Step 2: Convert to fraction form
    44.30/82.27 = 82.27/x
  3. Step 3: Cross multiply
    44.30x = 82.27 × 82.27
  4. Step 4: Simplify right side
    44.30x = 6,767.63
  5. Step 5: Solve for x
    x = 6,767.63/44.30
  6. Step 6: Final answer
    x = 152.78

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.