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Finding the Third Proportional to 45.14 and 97.73

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Solution

The third proportional to 45.14 and 97.73 is: 211.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.14 : 97.73 = 97.73 : x
  2. Step 2: Convert to fraction form
    45.14/97.73 = 97.73/x
  3. Step 3: Cross multiply
    45.14x = 97.73 × 97.73
  4. Step 4: Simplify right side
    45.14x = 9,552.01
  5. Step 5: Solve for x
    x = 9,552.01/45.14
  6. Step 6: Final answer
    x = 211.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.