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Finding the Third Proportional to 2.05 and 4.56

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Solution

The third proportional to 2.05 and 4.56 is: 10.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.05 : 4.56 = 4.56 : x
  2. Step 2: Convert to fraction form
    2.05/4.56 = 4.56/x
  3. Step 3: Cross multiply
    2.05x = 4.56 × 4.56
  4. Step 4: Simplify right side
    2.05x = 20.76
  5. Step 5: Solve for x
    x = 20.76/2.05
  6. Step 6: Final answer
    x = 10.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.