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Finding the Third Proportional to 23 and 64

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Solution

The third proportional to 23 and 64 is: 178.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23 : 64 = 64 : x
  2. Step 2: Convert to fraction form
    23/64 = 64/x
  3. Step 3: Cross multiply
    23x = 64 × 64
  4. Step 4: Simplify right side
    23x = 4,096
  5. Step 5: Solve for x
    x = 4,096/23
  6. Step 6: Final answer
    x = 178.09

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Why These Related Problems?

These problems maintain the same ratio (2.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.