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Finding the Third Proportional to 17.09 and 25.58

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Solution

The third proportional to 17.09 and 25.58 is: 38.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.09 : 25.58 = 25.58 : x
  2. Step 2: Convert to fraction form
    17.09/25.58 = 25.58/x
  3. Step 3: Cross multiply
    17.09x = 25.58 × 25.58
  4. Step 4: Simplify right side
    17.09x = 654.24
  5. Step 5: Solve for x
    x = 654.24/17.09
  6. Step 6: Final answer
    x = 38.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.