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Finding the Third Proportional to 2.41 and 5.20

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Solution

The third proportional to 2.41 and 5.20 is: 11.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.41 : 5.20 = 5.20 : x
  2. Step 2: Convert to fraction form
    2.41/5.20 = 5.20/x
  3. Step 3: Cross multiply
    2.41x = 5.20 × 5.20
  4. Step 4: Simplify right side
    2.41x = 27.06
  5. Step 5: Solve for x
    x = 27.06/2.41
  6. Step 6: Final answer
    x = 11.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.