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Finding the Third Proportional to 46.83 and 80.41

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Solution

The third proportional to 46.83 and 80.41 is: 138.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.83 : 80.41 = 80.41 : x
  2. Step 2: Convert to fraction form
    46.83/80.41 = 80.41/x
  3. Step 3: Cross multiply
    46.83x = 80.41 × 80.41
  4. Step 4: Simplify right side
    46.83x = 6,466.42
  5. Step 5: Solve for x
    x = 6,466.42/46.83
  6. Step 6: Final answer
    x = 138.09

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.