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Finding the Third Proportional to 2.45 and 5.22

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Solution

The third proportional to 2.45 and 5.22 is: 11.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.45 : 5.22 = 5.22 : x
  2. Step 2: Convert to fraction form
    2.45/5.22 = 5.22/x
  3. Step 3: Cross multiply
    2.45x = 5.22 × 5.22
  4. Step 4: Simplify right side
    2.45x = 27.26
  5. Step 5: Solve for x
    x = 27.26/2.45
  6. Step 6: Final answer
    x = 11.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.