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Finding the Third Proportional to 26.03 and 47.73

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Solution

The third proportional to 26.03 and 47.73 is: 87.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.03 : 47.73 = 47.73 : x
  2. Step 2: Convert to fraction form
    26.03/47.73 = 47.73/x
  3. Step 3: Cross multiply
    26.03x = 47.73 × 47.73
  4. Step 4: Simplify right side
    26.03x = 2,277.86
  5. Step 5: Solve for x
    x = 2,277.86/26.03
  6. Step 6: Final answer
    x = 87.50

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.