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Finding the Third Proportional to 10.86 and 16.37

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Solution

The third proportional to 10.86 and 16.37 is: 24.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.86 : 16.37 = 16.37 : x
  2. Step 2: Convert to fraction form
    10.86/16.37 = 16.37/x
  3. Step 3: Cross multiply
    10.86x = 16.37 × 16.37
  4. Step 4: Simplify right side
    10.86x = 267.89
  5. Step 5: Solve for x
    x = 267.89/10.86
  6. Step 6: Final answer
    x = 24.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.