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Finding the Third Proportional to 9.97 and 21.89

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Solution

The third proportional to 9.97 and 21.89 is: 48.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.97 : 21.89 = 21.89 : x
  2. Step 2: Convert to fraction form
    9.97/21.89 = 21.89/x
  3. Step 3: Cross multiply
    9.97x = 21.89 × 21.89
  4. Step 4: Simplify right side
    9.97x = 479.23
  5. Step 5: Solve for x
    x = 479.23/9.97
  6. Step 6: Final answer
    x = 48.08

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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.