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Finding the Third Proportional to 62.97 and 97.94

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Solution

The third proportional to 62.97 and 97.94 is: 152.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.97 : 97.94 = 97.94 : x
  2. Step 2: Convert to fraction form
    62.97/97.94 = 97.94/x
  3. Step 3: Cross multiply
    62.97x = 97.94 × 97.94
  4. Step 4: Simplify right side
    62.97x = 9,591.75
  5. Step 5: Solve for x
    x = 9,591.75/62.97
  6. Step 6: Final answer
    x = 152.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.