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Finding the Third Proportional to 23.53 and 36.56

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Solution

The third proportional to 23.53 and 36.56 is: 56.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.53 : 36.56 = 36.56 : x
  2. Step 2: Convert to fraction form
    23.53/36.56 = 36.56/x
  3. Step 3: Cross multiply
    23.53x = 36.56 × 36.56
  4. Step 4: Simplify right side
    23.53x = 1,336.82
  5. Step 5: Solve for x
    x = 1,336.82/23.53
  6. Step 6: Final answer
    x = 56.81

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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.