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Finding the Third Proportional to 19.22 and 27.52

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Solution

The third proportional to 19.22 and 27.52 is: 39.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.22 : 27.52 = 27.52 : x
  2. Step 2: Convert to fraction form
    19.22/27.52 = 27.52/x
  3. Step 3: Cross multiply
    19.22x = 27.52 × 27.52
  4. Step 4: Simplify right side
    19.22x = 757.11
  5. Step 5: Solve for x
    x = 757.11/19.22
  6. Step 6: Final answer
    x = 39.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.