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Finding the Third Proportional to 17.87 and 26.04

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Solution

The third proportional to 17.87 and 26.04 is: 37.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.87 : 26.04 = 26.04 : x
  2. Step 2: Convert to fraction form
    17.87/26.04 = 26.04/x
  3. Step 3: Cross multiply
    17.87x = 26.04 × 26.04
  4. Step 4: Simplify right side
    17.87x = 677.98
  5. Step 5: Solve for x
    x = 677.98/17.87
  6. Step 6: Final answer
    x = 37.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.