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Finding the Third Proportional to 7.17 and 11.32

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Solution

The third proportional to 7.17 and 11.32 is: 17.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.17 : 11.32 = 11.32 : x
  2. Step 2: Convert to fraction form
    7.17/11.32 = 11.32/x
  3. Step 3: Cross multiply
    7.17x = 11.32 × 11.32
  4. Step 4: Simplify right side
    7.17x = 128.15
  5. Step 5: Solve for x
    x = 128.15/7.17
  6. Step 6: Final answer
    x = 17.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.