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Finding the Third Proportional to 10,983.38 and 17,021.25

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Solution

The third proportional to 10,983.38 and 17,021.25 is: 26,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,983.38 : 17,021.25 = 17,021.25 : x
  2. Step 2: Convert to fraction form
    10,983.38/17,021.25 = 17,021.25/x
  3. Step 3: Cross multiply
    10,983.38x = 17,021.25 × 17,021.25
  4. Step 4: Simplify right side
    10,983.38x = 289,722,951.56
  5. Step 5: Solve for x
    x = 289,722,951.56/10,983.38
  6. Step 6: Final answer
    x = 26,378.32

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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.