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Finding the Third Proportional to 26.91 and 35.32

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Solution

The third proportional to 26.91 and 35.32 is: 46.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.91 : 35.32 = 35.32 : x
  2. Step 2: Convert to fraction form
    26.91/35.32 = 35.32/x
  3. Step 3: Cross multiply
    26.91x = 35.32 × 35.32
  4. Step 4: Simplify right side
    26.91x = 1,247.52
  5. Step 5: Solve for x
    x = 1,247.52/26.91
  6. Step 6: Final answer
    x = 46.37

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.