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Finding the Third Proportional to 23.34 and 46.69

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Solution

The third proportional to 23.34 and 46.69 is: 93.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.34 : 46.69 = 46.69 : x
  2. Step 2: Convert to fraction form
    23.34/46.69 = 46.69/x
  3. Step 3: Cross multiply
    23.34x = 46.69 × 46.69
  4. Step 4: Simplify right side
    23.34x = 2,179.72
  5. Step 5: Solve for x
    x = 2,179.72/23.34
  6. Step 6: Final answer
    x = 93.38

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.