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Finding the Third Proportional to 4.43 and 9.69

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Solution

The third proportional to 4.43 and 9.69 is: 21.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.43 : 9.69 = 9.69 : x
  2. Step 2: Convert to fraction form
    4.43/9.69 = 9.69/x
  3. Step 3: Cross multiply
    4.43x = 9.69 × 9.69
  4. Step 4: Simplify right side
    4.43x = 93.89
  5. Step 5: Solve for x
    x = 93.89/4.43
  6. Step 6: Final answer
    x = 21.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.