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Finding the Third Proportional to 5.14 and 13.53

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Solution

The third proportional to 5.14 and 13.53 is: 35.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.14 : 13.53 = 13.53 : x
  2. Step 2: Convert to fraction form
    5.14/13.53 = 13.53/x
  3. Step 3: Cross multiply
    5.14x = 13.53 × 13.53
  4. Step 4: Simplify right side
    5.14x = 183.02
  5. Step 5: Solve for x
    x = 183.02/5.14
  6. Step 6: Final answer
    x = 35.62

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.