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Finding the Third Proportional to 13.53 and 29.19

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Solution

The third proportional to 13.53 and 29.19 is: 62.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.53 : 29.19 = 29.19 : x
  2. Step 2: Convert to fraction form
    13.53/29.19 = 29.19/x
  3. Step 3: Cross multiply
    13.53x = 29.19 × 29.19
  4. Step 4: Simplify right side
    13.53x = 851.97
  5. Step 5: Solve for x
    x = 851.97/13.53
  6. Step 6: Final answer
    x = 62.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.