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Finding the Third Proportional to 17.86 and 26.23

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Solution

The third proportional to 17.86 and 26.23 is: 38.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.86 : 26.23 = 26.23 : x
  2. Step 2: Convert to fraction form
    17.86/26.23 = 26.23/x
  3. Step 3: Cross multiply
    17.86x = 26.23 × 26.23
  4. Step 4: Simplify right side
    17.86x = 687.83
  5. Step 5: Solve for x
    x = 687.83/17.86
  6. Step 6: Final answer
    x = 38.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.