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Finding the Third Proportional to 10.73 and 16.76

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Solution

The third proportional to 10.73 and 16.76 is: 26.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.73 : 16.76 = 16.76 : x
  2. Step 2: Convert to fraction form
    10.73/16.76 = 16.76/x
  3. Step 3: Cross multiply
    10.73x = 16.76 × 16.76
  4. Step 4: Simplify right side
    10.73x = 280.82
  5. Step 5: Solve for x
    x = 280.82/10.73
  6. Step 6: Final answer
    x = 26.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.