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Finding the Third Proportional to 47.25 and 101.81

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Solution

The third proportional to 47.25 and 101.81 is: 219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.25 : 101.81 = 101.81 : x
  2. Step 2: Convert to fraction form
    47.25/101.81 = 101.81/x
  3. Step 3: Cross multiply
    47.25x = 101.81 × 101.81
  4. Step 4: Simplify right side
    47.25x = 10,365.79
  5. Step 5: Solve for x
    x = 10,365.79/47.25
  6. Step 6: Final answer
    x = 219.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.