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Finding the Third Proportional to 4.57 and 10.21

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Solution

The third proportional to 4.57 and 10.21 is: 22.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.57 : 10.21 = 10.21 : x
  2. Step 2: Convert to fraction form
    4.57/10.21 = 10.21/x
  3. Step 3: Cross multiply
    4.57x = 10.21 × 10.21
  4. Step 4: Simplify right side
    4.57x = 104.14
  5. Step 5: Solve for x
    x = 104.14/4.57
  6. Step 6: Final answer
    x = 22.77

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.