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Finding the Third Proportional to 49.10 and 102.28

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Solution

The third proportional to 49.10 and 102.28 is: 213.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.10 : 102.28 = 102.28 : x
  2. Step 2: Convert to fraction form
    49.10/102.28 = 102.28/x
  3. Step 3: Cross multiply
    49.10x = 102.28 × 102.28
  4. Step 4: Simplify right side
    49.10x = 10,460.85
  5. Step 5: Solve for x
    x = 10,460.85/49.10
  6. Step 6: Final answer
    x = 213.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.