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Finding the Third Proportional to 46.14 and 91.34

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Solution

The third proportional to 46.14 and 91.34 is: 180.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.14 : 91.34 = 91.34 : x
  2. Step 2: Convert to fraction form
    46.14/91.34 = 91.34/x
  3. Step 3: Cross multiply
    46.14x = 91.34 × 91.34
  4. Step 4: Simplify right side
    46.14x = 8,342.25
  5. Step 5: Solve for x
    x = 8,342.25/46.14
  6. Step 6: Final answer
    x = 180.79

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.