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Finding the Third Proportional to 7.08 and 11.13

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Solution

The third proportional to 7.08 and 11.13 is: 17.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.08 : 11.13 = 11.13 : x
  2. Step 2: Convert to fraction form
    7.08/11.13 = 11.13/x
  3. Step 3: Cross multiply
    7.08x = 11.13 × 11.13
  4. Step 4: Simplify right side
    7.08x = 123.93
  5. Step 5: Solve for x
    x = 123.93/7.08
  6. Step 6: Final answer
    x = 17.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.