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Finding the Third Proportional to 19.69 and 30.49

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Solution

The third proportional to 19.69 and 30.49 is: 47.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.69 : 30.49 = 30.49 : x
  2. Step 2: Convert to fraction form
    19.69/30.49 = 30.49/x
  3. Step 3: Cross multiply
    19.69x = 30.49 × 30.49
  4. Step 4: Simplify right side
    19.69x = 929.77
  5. Step 5: Solve for x
    x = 929.77/19.69
  6. Step 6: Final answer
    x = 47.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.