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Finding the Third Proportional to 10.53 and 16.79

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Solution

The third proportional to 10.53 and 16.79 is: 26.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.53 : 16.79 = 16.79 : x
  2. Step 2: Convert to fraction form
    10.53/16.79 = 16.79/x
  3. Step 3: Cross multiply
    10.53x = 16.79 × 16.79
  4. Step 4: Simplify right side
    10.53x = 281.80
  5. Step 5: Solve for x
    x = 281.80/10.53
  6. Step 6: Final answer
    x = 26.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.