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Finding the Third Proportional to 26.09 and 34.84

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Solution

The third proportional to 26.09 and 34.84 is: 46.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.09 : 34.84 = 34.84 : x
  2. Step 2: Convert to fraction form
    26.09/34.84 = 34.84/x
  3. Step 3: Cross multiply
    26.09x = 34.84 × 34.84
  4. Step 4: Simplify right side
    26.09x = 1,213.81
  5. Step 5: Solve for x
    x = 1,213.81/26.09
  6. Step 6: Final answer
    x = 46.53

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.