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Finding the Third Proportional to 2.23 and 4.77

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Solution

The third proportional to 2.23 and 4.77 is: 10.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.23 : 4.77 = 4.77 : x
  2. Step 2: Convert to fraction form
    2.23/4.77 = 4.77/x
  3. Step 3: Cross multiply
    2.23x = 4.77 × 4.77
  4. Step 4: Simplify right side
    2.23x = 22.73
  5. Step 5: Solve for x
    x = 22.73/2.23
  6. Step 6: Final answer
    x = 10.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.