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Finding the Third Proportional to 23.43 and 46.09

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Solution

The third proportional to 23.43 and 46.09 is: 90.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.43 : 46.09 = 46.09 : x
  2. Step 2: Convert to fraction form
    23.43/46.09 = 46.09/x
  3. Step 3: Cross multiply
    23.43x = 46.09 × 46.09
  4. Step 4: Simplify right side
    23.43x = 2,123.92
  5. Step 5: Solve for x
    x = 2,123.92/23.43
  6. Step 6: Final answer
    x = 90.64

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.