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Finding the Third Proportional to 51.47 and 111.47

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Solution

The third proportional to 51.47 and 111.47 is: 241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.47 : 111.47 = 111.47 : x
  2. Step 2: Convert to fraction form
    51.47/111.47 = 111.47/x
  3. Step 3: Cross multiply
    51.47x = 111.47 × 111.47
  4. Step 4: Simplify right side
    51.47x = 12,425.28
  5. Step 5: Solve for x
    x = 12,425.28/51.47
  6. Step 6: Final answer
    x = 241.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.