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Finding the Third Proportional to 19.69 and 31.22

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Solution

The third proportional to 19.69 and 31.22 is: 49.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.69 : 31.22 = 31.22 : x
  2. Step 2: Convert to fraction form
    19.69/31.22 = 31.22/x
  3. Step 3: Cross multiply
    19.69x = 31.22 × 31.22
  4. Step 4: Simplify right side
    19.69x = 974.61
  5. Step 5: Solve for x
    x = 974.61/19.69
  6. Step 6: Final answer
    x = 49.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.