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Finding the Third Proportional to 10,986.26 and 17,006.20

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Solution

The third proportional to 10,986.26 and 17,006.20 is: 26,324.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986.26 : 17,006.20 = 17,006.20 : x
  2. Step 2: Convert to fraction form
    10,986.26/17,006.20 = 17,006.20/x
  3. Step 3: Cross multiply
    10,986.26x = 17,006.20 × 17,006.20
  4. Step 4: Simplify right side
    10,986.26x = 289,210,944.73
  5. Step 5: Solve for x
    x = 289,210,944.73/10,986.26
  6. Step 6: Final answer
    x = 26,324.79

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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.