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Finding the Third Proportional to 19.81 and 43.42

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Solution

The third proportional to 19.81 and 43.42 is: 95.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.81 : 43.42 = 43.42 : x
  2. Step 2: Convert to fraction form
    19.81/43.42 = 43.42/x
  3. Step 3: Cross multiply
    19.81x = 43.42 × 43.42
  4. Step 4: Simplify right side
    19.81x = 1,885.46
  5. Step 5: Solve for x
    x = 1,885.46/19.81
  6. Step 6: Final answer
    x = 95.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.