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Finding the Third Proportional to 23.76 and 34.71

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Solution

The third proportional to 23.76 and 34.71 is: 50.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.76 : 34.71 = 34.71 : x
  2. Step 2: Convert to fraction form
    23.76/34.71 = 34.71/x
  3. Step 3: Cross multiply
    23.76x = 34.71 × 34.71
  4. Step 4: Simplify right side
    23.76x = 1,204.49
  5. Step 5: Solve for x
    x = 1,204.49/23.76
  6. Step 6: Final answer
    x = 50.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.