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Finding the Third Proportional to 26.88 and 35.63

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Solution

The third proportional to 26.88 and 35.63 is: 47.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.88 : 35.63 = 35.63 : x
  2. Step 2: Convert to fraction form
    26.88/35.63 = 35.63/x
  3. Step 3: Cross multiply
    26.88x = 35.63 × 35.63
  4. Step 4: Simplify right side
    26.88x = 1,269.14
  5. Step 5: Solve for x
    x = 1,269.14/26.88
  6. Step 6: Final answer
    x = 47.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.