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Finding the Third Proportional to 19.91 and 40.07

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Solution

The third proportional to 19.91 and 40.07 is: 80.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.91 : 40.07 = 40.07 : x
  2. Step 2: Convert to fraction form
    19.91/40.07 = 40.07/x
  3. Step 3: Cross multiply
    19.91x = 40.07 × 40.07
  4. Step 4: Simplify right side
    19.91x = 1,605.72
  5. Step 5: Solve for x
    x = 1,605.72/19.91
  6. Step 6: Final answer
    x = 80.66

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.