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Finding the Third Proportional to 9.14 and 20.46

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Solution

The third proportional to 9.14 and 20.46 is: 45.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.14 : 20.46 = 20.46 : x
  2. Step 2: Convert to fraction form
    9.14/20.46 = 20.46/x
  3. Step 3: Cross multiply
    9.14x = 20.46 × 20.46
  4. Step 4: Simplify right side
    9.14x = 418.65
  5. Step 5: Solve for x
    x = 418.65/9.14
  6. Step 6: Final answer
    x = 45.80

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.