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Finding the Third Proportional to 15.27 and 19.80

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Solution

The third proportional to 15.27 and 19.80 is: 25.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.27 : 19.80 = 19.80 : x
  2. Step 2: Convert to fraction form
    15.27/19.80 = 19.80/x
  3. Step 3: Cross multiply
    15.27x = 19.80 × 19.80
  4. Step 4: Simplify right side
    15.27x = 392.11
  5. Step 5: Solve for x
    x = 392.11/15.27
  6. Step 6: Final answer
    x = 25.68

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.