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Finding the Third Proportional to 18.84 and 46.65

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Solution

The third proportional to 18.84 and 46.65 is: 115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.84 : 46.65 = 46.65 : x
  2. Step 2: Convert to fraction form
    18.84/46.65 = 46.65/x
  3. Step 3: Cross multiply
    18.84x = 46.65 × 46.65
  4. Step 4: Simplify right side
    18.84x = 2,176.44
  5. Step 5: Solve for x
    x = 2,176.44/18.84
  6. Step 6: Final answer
    x = 115.50

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.