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Finding the Third Proportional to 28.16 and 34.29

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Solution

The third proportional to 28.16 and 34.29 is: 41.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.16 : 34.29 = 34.29 : x
  2. Step 2: Convert to fraction form
    28.16/34.29 = 34.29/x
  3. Step 3: Cross multiply
    28.16x = 34.29 × 34.29
  4. Step 4: Simplify right side
    28.16x = 1,176.14
  5. Step 5: Solve for x
    x = 1,176.14/28.16
  6. Step 6: Final answer
    x = 41.77

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.