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Finding the Third Proportional to 2.29 and 5.39

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Solution

The third proportional to 2.29 and 5.39 is: 12.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.29 : 5.39 = 5.39 : x
  2. Step 2: Convert to fraction form
    2.29/5.39 = 5.39/x
  3. Step 3: Cross multiply
    2.29x = 5.39 × 5.39
  4. Step 4: Simplify right side
    2.29x = 29.02
  5. Step 5: Solve for x
    x = 29.02/2.29
  6. Step 6: Final answer
    x = 12.65

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.