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Finding the Third Proportional to 17.50 and 26.88

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Solution

The third proportional to 17.50 and 26.88 is: 41.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.50 : 26.88 = 26.88 : x
  2. Step 2: Convert to fraction form
    17.50/26.88 = 26.88/x
  3. Step 3: Cross multiply
    17.50x = 26.88 × 26.88
  4. Step 4: Simplify right side
    17.50x = 722.27
  5. Step 5: Solve for x
    x = 722.27/17.50
  6. Step 6: Final answer
    x = 41.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.