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Finding the Third Proportional to 47.25 and 92.81

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Solution

The third proportional to 47.25 and 92.81 is: 182.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.25 : 92.81 = 92.81 : x
  2. Step 2: Convert to fraction form
    47.25/92.81 = 92.81/x
  3. Step 3: Cross multiply
    47.25x = 92.81 × 92.81
  4. Step 4: Simplify right side
    47.25x = 8,614.16
  5. Step 5: Solve for x
    x = 8,614.16/47.25
  6. Step 6: Final answer
    x = 182.31

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.