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Finding the Third Proportional to 5.22 and 13.48

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Solution

The third proportional to 5.22 and 13.48 is: 34.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.22 : 13.48 = 13.48 : x
  2. Step 2: Convert to fraction form
    5.22/13.48 = 13.48/x
  3. Step 3: Cross multiply
    5.22x = 13.48 × 13.48
  4. Step 4: Simplify right side
    5.22x = 181.83
  5. Step 5: Solve for x
    x = 181.83/5.22
  6. Step 6: Final answer
    x = 34.84

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Why These Related Problems?

These problems maintain the same ratio (2.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.