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Finding the Third Proportional to 26.83 and 63.47

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Solution

The third proportional to 26.83 and 63.47 is: 150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.83 : 63.47 = 63.47 : x
  2. Step 2: Convert to fraction form
    26.83/63.47 = 63.47/x
  3. Step 3: Cross multiply
    26.83x = 63.47 × 63.47
  4. Step 4: Simplify right side
    26.83x = 4,028.64
  5. Step 5: Solve for x
    x = 4,028.64/26.83
  6. Step 6: Final answer
    x = 150.15

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.