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Finding the Third Proportional to 10.13 and 13.22

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Solution

The third proportional to 10.13 and 13.22 is: 17.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.13 : 13.22 = 13.22 : x
  2. Step 2: Convert to fraction form
    10.13/13.22 = 13.22/x
  3. Step 3: Cross multiply
    10.13x = 13.22 × 13.22
  4. Step 4: Simplify right side
    10.13x = 174.74
  5. Step 5: Solve for x
    x = 174.74/10.13
  6. Step 6: Final answer
    x = 17.26

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.