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Finding the Third Proportional to 2.01 and 4.74

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Solution

The third proportional to 2.01 and 4.74 is: 11.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.01 : 4.74 = 4.74 : x
  2. Step 2: Convert to fraction form
    2.01/4.74 = 4.74/x
  3. Step 3: Cross multiply
    2.01x = 4.74 × 4.74
  4. Step 4: Simplify right side
    2.01x = 22.50
  5. Step 5: Solve for x
    x = 22.50/2.01
  6. Step 6: Final answer
    x = 11.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.