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Finding the Third Proportional to 36.75 and 52.88

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Solution

The third proportional to 36.75 and 52.88 is: 76.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.75 : 52.88 = 52.88 : x
  2. Step 2: Convert to fraction form
    36.75/52.88 = 52.88/x
  3. Step 3: Cross multiply
    36.75x = 52.88 × 52.88
  4. Step 4: Simplify right side
    36.75x = 2,795.77
  5. Step 5: Solve for x
    x = 2,795.77/36.75
  6. Step 6: Final answer
    x = 76.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.