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Finding the Third Proportional to 46.87 and 63.27

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Solution

The third proportional to 46.87 and 63.27 is: 85.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.87 : 63.27 = 63.27 : x
  2. Step 2: Convert to fraction form
    46.87/63.27 = 63.27/x
  3. Step 3: Cross multiply
    46.87x = 63.27 × 63.27
  4. Step 4: Simplify right side
    46.87x = 4,003.16
  5. Step 5: Solve for x
    x = 4,003.16/46.87
  6. Step 6: Final answer
    x = 85.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.