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Finding the Third Proportional to 10.39 and 16.08

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Solution

The third proportional to 10.39 and 16.08 is: 24.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.39 : 16.08 = 16.08 : x
  2. Step 2: Convert to fraction form
    10.39/16.08 = 16.08/x
  3. Step 3: Cross multiply
    10.39x = 16.08 × 16.08
  4. Step 4: Simplify right side
    10.39x = 258.69
  5. Step 5: Solve for x
    x = 258.69/10.39
  6. Step 6: Final answer
    x = 24.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.