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Finding the Third Proportional to 13.13 and 14.63

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Solution

The third proportional to 13.13 and 14.63 is: 16.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.13 : 14.63 = 14.63 : x
  2. Step 2: Convert to fraction form
    13.13/14.63 = 14.63/x
  3. Step 3: Cross multiply
    13.13x = 14.63 × 14.63
  4. Step 4: Simplify right side
    13.13x = 213.89
  5. Step 5: Solve for x
    x = 213.89/13.13
  6. Step 6: Final answer
    x = 16.30

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.