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Finding the Third Proportional to 10,945.97 and 16,983.42

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Solution

The third proportional to 10,945.97 and 16,983.42 is: 26,350.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,945.97 : 16,983.42 = 16,983.42 : x
  2. Step 2: Convert to fraction form
    10,945.97/16,983.42 = 16,983.42/x
  3. Step 3: Cross multiply
    10,945.97x = 16,983.42 × 16,983.42
  4. Step 4: Simplify right side
    10,945.97x = 288,436,618.58
  5. Step 5: Solve for x
    x = 288,436,618.58/10,945.97
  6. Step 6: Final answer
    x = 26,350.94

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