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Finding the Third Proportional to 19.25 and 26.63

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Solution

The third proportional to 19.25 and 26.63 is: 36.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.25 : 26.63 = 26.63 : x
  2. Step 2: Convert to fraction form
    19.25/26.63 = 26.63/x
  3. Step 3: Cross multiply
    19.25x = 26.63 × 26.63
  4. Step 4: Simplify right side
    19.25x = 708.89
  5. Step 5: Solve for x
    x = 708.89/19.25
  6. Step 6: Final answer
    x = 36.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.