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Finding the Third Proportional to 10,383.50 and 16,109

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Solution

The third proportional to 10,383.50 and 16,109 is: 24,991.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.50 : 16,109 = 16,109 : x
  2. Step 2: Convert to fraction form
    10,383.50/16,109 = 16,109/x
  3. Step 3: Cross multiply
    10,383.50x = 16,109 × 16,109
  4. Step 4: Simplify right side
    10,383.50x = 259,499,881
  5. Step 5: Solve for x
    x = 259,499,881/10,383.50
  6. Step 6: Final answer
    x = 24,991.56

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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.