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Finding the Third Proportional to 46.92 and 110.37

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Solution

The third proportional to 46.92 and 110.37 is: 259.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.92 : 110.37 = 110.37 : x
  2. Step 2: Convert to fraction form
    46.92/110.37 = 110.37/x
  3. Step 3: Cross multiply
    46.92x = 110.37 × 110.37
  4. Step 4: Simplify right side
    46.92x = 12,180.92
  5. Step 5: Solve for x
    x = 12,180.92/46.92
  6. Step 6: Final answer
    x = 259.60

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.