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Finding the Third Proportional to 12.76 and 19.23

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Solution

The third proportional to 12.76 and 19.23 is: 28.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.76 : 19.23 = 19.23 : x
  2. Step 2: Convert to fraction form
    12.76/19.23 = 19.23/x
  3. Step 3: Cross multiply
    12.76x = 19.23 × 19.23
  4. Step 4: Simplify right side
    12.76x = 369.81
  5. Step 5: Solve for x
    x = 369.81/12.76
  6. Step 6: Final answer
    x = 28.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.