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Finding the Third Proportional to 8.06 and 19.59

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Solution

The third proportional to 8.06 and 19.59 is: 47.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.06 : 19.59 = 19.59 : x
  2. Step 2: Convert to fraction form
    8.06/19.59 = 19.59/x
  3. Step 3: Cross multiply
    8.06x = 19.59 × 19.59
  4. Step 4: Simplify right side
    8.06x = 383.92
  5. Step 5: Solve for x
    x = 383.92/8.06
  6. Step 6: Final answer
    x = 47.62

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.