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Finding the Third Proportional to 17.83 and 26.12

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Solution

The third proportional to 17.83 and 26.12 is: 38.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.83 : 26.12 = 26.12 : x
  2. Step 2: Convert to fraction form
    17.83/26.12 = 26.12/x
  3. Step 3: Cross multiply
    17.83x = 26.12 × 26.12
  4. Step 4: Simplify right side
    17.83x = 682.19
  5. Step 5: Solve for x
    x = 682.19/17.83
  6. Step 6: Final answer
    x = 38.26

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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.