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Finding the Third Proportional to 8.46 and 20.06

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Solution

The third proportional to 8.46 and 20.06 is: 47.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.46 : 20.06 = 20.06 : x
  2. Step 2: Convert to fraction form
    8.46/20.06 = 20.06/x
  3. Step 3: Cross multiply
    8.46x = 20.06 × 20.06
  4. Step 4: Simplify right side
    8.46x = 402.60
  5. Step 5: Solve for x
    x = 402.60/8.46
  6. Step 6: Final answer
    x = 47.60

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.