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Finding the Third Proportional to 36 and 76.88

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Solution

The third proportional to 36 and 76.88 is: 164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36 : 76.88 = 76.88 : x
  2. Step 2: Convert to fraction form
    36/76.88 = 76.88/x
  3. Step 3: Cross multiply
    36x = 76.88 × 76.88
  4. Step 4: Simplify right side
    36x = 5,909.77
  5. Step 5: Solve for x
    x = 5,909.77/36
  6. Step 6: Final answer
    x = 164.16

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.