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Finding the Third Proportional to 4.06 and 9.48

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Solution

The third proportional to 4.06 and 9.48 is: 22.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.06 : 9.48 = 9.48 : x
  2. Step 2: Convert to fraction form
    4.06/9.48 = 9.48/x
  3. Step 3: Cross multiply
    4.06x = 9.48 × 9.48
  4. Step 4: Simplify right side
    4.06x = 89.88
  5. Step 5: Solve for x
    x = 89.88/4.06
  6. Step 6: Final answer
    x = 22.12

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.