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Finding the Third Proportional to 46.75 and 97.38

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Solution

The third proportional to 46.75 and 97.38 is: 202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.75 : 97.38 = 97.38 : x
  2. Step 2: Convert to fraction form
    46.75/97.38 = 97.38/x
  3. Step 3: Cross multiply
    46.75x = 97.38 × 97.38
  4. Step 4: Simplify right side
    46.75x = 9,481.89
  5. Step 5: Solve for x
    x = 9,481.89/46.75
  6. Step 6: Final answer
    x = 202.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.