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Finding the Third Proportional to 23.10 and 46.67

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Solution

The third proportional to 23.10 and 46.67 is: 94.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.10 : 46.67 = 46.67 : x
  2. Step 2: Convert to fraction form
    23.10/46.67 = 46.67/x
  3. Step 3: Cross multiply
    23.10x = 46.67 × 46.67
  4. Step 4: Simplify right side
    23.10x = 2,178.08
  5. Step 5: Solve for x
    x = 2,178.08/23.10
  6. Step 6: Final answer
    x = 94.30

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.