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Finding the Third Proportional to 46.25 and 99.67

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Solution

The third proportional to 46.25 and 99.67 is: 214.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.25 : 99.67 = 99.67 : x
  2. Step 2: Convert to fraction form
    46.25/99.67 = 99.67/x
  3. Step 3: Cross multiply
    46.25x = 99.67 × 99.67
  4. Step 4: Simplify right side
    46.25x = 9,933.70
  5. Step 5: Solve for x
    x = 9,933.70/46.25
  6. Step 6: Final answer
    x = 214.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.