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Finding the Third Proportional to 26 and 28

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Solution

The third proportional to 26 and 28 is: 30.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26 : 28 = 28 : x
  2. Step 2: Convert to fraction form
    26/28 = 28/x
  3. Step 3: Cross multiply
    26x = 28 × 28
  4. Step 4: Simplify right side
    26x = 784
  5. Step 5: Solve for x
    x = 784/26
  6. Step 6: Final answer
    x = 30.15

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.