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Finding the Third Proportional to 4.54 and 10.24

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Solution

The third proportional to 4.54 and 10.24 is: 23.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.54 : 10.24 = 10.24 : x
  2. Step 2: Convert to fraction form
    4.54/10.24 = 10.24/x
  3. Step 3: Cross multiply
    4.54x = 10.24 × 10.24
  4. Step 4: Simplify right side
    4.54x = 104.94
  5. Step 5: Solve for x
    x = 104.94/4.54
  6. Step 6: Final answer
    x = 23.14

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.