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Finding the Third Proportional to 3.61 and 5.14

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Solution

The third proportional to 3.61 and 5.14 is: 7.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.61 : 5.14 = 5.14 : x
  2. Step 2: Convert to fraction form
    3.61/5.14 = 5.14/x
  3. Step 3: Cross multiply
    3.61x = 5.14 × 5.14
  4. Step 4: Simplify right side
    3.61x = 26.40
  5. Step 5: Solve for x
    x = 26.40/3.61
  6. Step 6: Final answer
    x = 7.30

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.