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Finding the Third Proportional to 23.63 and 38.81

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Solution

The third proportional to 23.63 and 38.81 is: 63.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.63 : 38.81 = 38.81 : x
  2. Step 2: Convert to fraction form
    23.63/38.81 = 38.81/x
  3. Step 3: Cross multiply
    23.63x = 38.81 × 38.81
  4. Step 4: Simplify right side
    23.63x = 1,506.41
  5. Step 5: Solve for x
    x = 1,506.41/23.63
  6. Step 6: Final answer
    x = 63.76

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.