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Finding the Third Proportional to 19.93 and 30.90

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Solution

The third proportional to 19.93 and 30.90 is: 47.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.93 : 30.90 = 30.90 : x
  2. Step 2: Convert to fraction form
    19.93/30.90 = 30.90/x
  3. Step 3: Cross multiply
    19.93x = 30.90 × 30.90
  4. Step 4: Simplify right side
    19.93x = 954.95
  5. Step 5: Solve for x
    x = 954.95/19.93
  6. Step 6: Final answer
    x = 47.91

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