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Finding the Third Proportional to 51.63 and 104.69

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Solution

The third proportional to 51.63 and 104.69 is: 212.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.63 : 104.69 = 104.69 : x
  2. Step 2: Convert to fraction form
    51.63/104.69 = 104.69/x
  3. Step 3: Cross multiply
    51.63x = 104.69 × 104.69
  4. Step 4: Simplify right side
    51.63x = 10,959.47
  5. Step 5: Solve for x
    x = 10,959.47/51.63
  6. Step 6: Final answer
    x = 212.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.