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Finding the Third Proportional to 4.16 and 9.24

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Solution

The third proportional to 4.16 and 9.24 is: 20.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.16 : 9.24 = 9.24 : x
  2. Step 2: Convert to fraction form
    4.16/9.24 = 9.24/x
  3. Step 3: Cross multiply
    4.16x = 9.24 × 9.24
  4. Step 4: Simplify right side
    4.16x = 85.33
  5. Step 5: Solve for x
    x = 85.33/4.16
  6. Step 6: Final answer
    x = 20.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.