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Finding the Third Proportional to 9.61 and 21.12

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Solution

The third proportional to 9.61 and 21.12 is: 46.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.61 : 21.12 = 21.12 : x
  2. Step 2: Convert to fraction form
    9.61/21.12 = 21.12/x
  3. Step 3: Cross multiply
    9.61x = 21.12 × 21.12
  4. Step 4: Simplify right side
    9.61x = 445.94
  5. Step 5: Solve for x
    x = 445.94/9.61
  6. Step 6: Final answer
    x = 46.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.