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Finding the Third Proportional to 7.54 and 11.36

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Solution

The third proportional to 7.54 and 11.36 is: 17.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.54 : 11.36 = 11.36 : x
  2. Step 2: Convert to fraction form
    7.54/11.36 = 11.36/x
  3. Step 3: Cross multiply
    7.54x = 11.36 × 11.36
  4. Step 4: Simplify right side
    7.54x = 129.15
  5. Step 5: Solve for x
    x = 129.15/7.54
  6. Step 6: Final answer
    x = 17.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.