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Finding the Third Proportional to 17.09 and 26.58

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Solution

The third proportional to 17.09 and 26.58 is: 41.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.09 : 26.58 = 26.58 : x
  2. Step 2: Convert to fraction form
    17.09/26.58 = 26.58/x
  3. Step 3: Cross multiply
    17.09x = 26.58 × 26.58
  4. Step 4: Simplify right side
    17.09x = 706.40
  5. Step 5: Solve for x
    x = 706.40/17.09
  6. Step 6: Final answer
    x = 41.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.