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Finding the Third Proportional to 19.81 and 43.10

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Solution

The third proportional to 19.81 and 43.10 is: 93.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.81 : 43.10 = 43.10 : x
  2. Step 2: Convert to fraction form
    19.81/43.10 = 43.10/x
  3. Step 3: Cross multiply
    19.81x = 43.10 × 43.10
  4. Step 4: Simplify right side
    19.81x = 1,857.55
  5. Step 5: Solve for x
    x = 1,857.55/19.81
  6. Step 6: Final answer
    x = 93.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.