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Finding the Third Proportional to 23.77 and 36.84

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Solution

The third proportional to 23.77 and 36.84 is: 57.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.77 : 36.84 = 36.84 : x
  2. Step 2: Convert to fraction form
    23.77/36.84 = 36.84/x
  3. Step 3: Cross multiply
    23.77x = 36.84 × 36.84
  4. Step 4: Simplify right side
    23.77x = 1,357.46
  5. Step 5: Solve for x
    x = 1,357.46/23.77
  6. Step 6: Final answer
    x = 57.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.