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Finding the Third Proportional to 2.24 and 4.77

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Solution

The third proportional to 2.24 and 4.77 is: 10.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.24 : 4.77 = 4.77 : x
  2. Step 2: Convert to fraction form
    2.24/4.77 = 4.77/x
  3. Step 3: Cross multiply
    2.24x = 4.77 × 4.77
  4. Step 4: Simplify right side
    2.24x = 22.78
  5. Step 5: Solve for x
    x = 22.78/2.24
  6. Step 6: Final answer
    x = 10.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.