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Finding the Third Proportional to 36.97 and 65.94

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Solution

The third proportional to 36.97 and 65.94 is: 117.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.97 : 65.94 = 65.94 : x
  2. Step 2: Convert to fraction form
    36.97/65.94 = 65.94/x
  3. Step 3: Cross multiply
    36.97x = 65.94 × 65.94
  4. Step 4: Simplify right side
    36.97x = 4,347.75
  5. Step 5: Solve for x
    x = 4,347.75/36.97
  6. Step 6: Final answer
    x = 117.61

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.