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Finding the Third Proportional to 26.74 and 47.36

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Solution

The third proportional to 26.74 and 47.36 is: 83.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.74 : 47.36 = 47.36 : x
  2. Step 2: Convert to fraction form
    26.74/47.36 = 47.36/x
  3. Step 3: Cross multiply
    26.74x = 47.36 × 47.36
  4. Step 4: Simplify right side
    26.74x = 2,242.54
  5. Step 5: Solve for x
    x = 2,242.54/26.74
  6. Step 6: Final answer
    x = 83.88

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.