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Finding the Third Proportional to 44.53 and 95.72

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Solution

The third proportional to 44.53 and 95.72 is: 205.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.53 : 95.72 = 95.72 : x
  2. Step 2: Convert to fraction form
    44.53/95.72 = 95.72/x
  3. Step 3: Cross multiply
    44.53x = 95.72 × 95.72
  4. Step 4: Simplify right side
    44.53x = 9,162.08
  5. Step 5: Solve for x
    x = 9,162.08/44.53
  6. Step 6: Final answer
    x = 205.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.