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Finding the Third Proportional to 18.30 and 19.71

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Solution

The third proportional to 18.30 and 19.71 is: 21.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.30 : 19.71 = 19.71 : x
  2. Step 2: Convert to fraction form
    18.30/19.71 = 19.71/x
  3. Step 3: Cross multiply
    18.30x = 19.71 × 19.71
  4. Step 4: Simplify right side
    18.30x = 388.34
  5. Step 5: Solve for x
    x = 388.34/18.30
  6. Step 6: Final answer
    x = 21.22

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.