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Finding the Third Proportional to 17.71 and 28.55

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Solution

The third proportional to 17.71 and 28.55 is: 46.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.71 : 28.55 = 28.55 : x
  2. Step 2: Convert to fraction form
    17.71/28.55 = 28.55/x
  3. Step 3: Cross multiply
    17.71x = 28.55 × 28.55
  4. Step 4: Simplify right side
    17.71x = 815.26
  5. Step 5: Solve for x
    x = 815.26/17.71
  6. Step 6: Final answer
    x = 46.02

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.