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Finding the Third Proportional to 19.52 and 28.48

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Solution

The third proportional to 19.52 and 28.48 is: 41.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.52 : 28.48 = 28.48 : x
  2. Step 2: Convert to fraction form
    19.52/28.48 = 28.48/x
  3. Step 3: Cross multiply
    19.52x = 28.48 × 28.48
  4. Step 4: Simplify right side
    19.52x = 810.91
  5. Step 5: Solve for x
    x = 810.91/19.52
  6. Step 6: Final answer
    x = 41.54

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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.