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Finding the Third Proportional to 46.62 and 95.55

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Solution

The third proportional to 46.62 and 95.55 is: 195.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.62 : 95.55 = 95.55 : x
  2. Step 2: Convert to fraction form
    46.62/95.55 = 95.55/x
  3. Step 3: Cross multiply
    46.62x = 95.55 × 95.55
  4. Step 4: Simplify right side
    46.62x = 9,130.70
  5. Step 5: Solve for x
    x = 9,130.70/46.62
  6. Step 6: Final answer
    x = 195.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.