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Finding the Third Proportional to 19.62 and 29.73

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Solution

The third proportional to 19.62 and 29.73 is: 45.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.62 : 29.73 = 29.73 : x
  2. Step 2: Convert to fraction form
    19.62/29.73 = 29.73/x
  3. Step 3: Cross multiply
    19.62x = 29.73 × 29.73
  4. Step 4: Simplify right side
    19.62x = 883.58
  5. Step 5: Solve for x
    x = 883.58/19.62
  6. Step 6: Final answer
    x = 45.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.