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Finding the Third Proportional to 18.50 and 46.06

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Solution

The third proportional to 18.50 and 46.06 is: 114.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.50 : 46.06 = 46.06 : x
  2. Step 2: Convert to fraction form
    18.50/46.06 = 46.06/x
  3. Step 3: Cross multiply
    18.50x = 46.06 × 46.06
  4. Step 4: Simplify right side
    18.50x = 2,121.75
  5. Step 5: Solve for x
    x = 2,121.75/18.50
  6. Step 6: Final answer
    x = 114.69

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.