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Finding the Third Proportional to 5.52 and 12.10

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Solution

The third proportional to 5.52 and 12.10 is: 26.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.52 : 12.10 = 12.10 : x
  2. Step 2: Convert to fraction form
    5.52/12.10 = 12.10/x
  3. Step 3: Cross multiply
    5.52x = 12.10 × 12.10
  4. Step 4: Simplify right side
    5.52x = 146.47
  5. Step 5: Solve for x
    x = 146.47/5.52
  6. Step 6: Final answer
    x = 26.55

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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.