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Finding the Third Proportional to 10,984.50 and 17,022.94

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Solution

The third proportional to 10,984.50 and 17,022.94 is: 26,380.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984.50 : 17,022.94 = 17,022.94 : x
  2. Step 2: Convert to fraction form
    10,984.50/17,022.94 = 17,022.94/x
  3. Step 3: Cross multiply
    10,984.50x = 17,022.94 × 17,022.94
  4. Step 4: Simplify right side
    10,984.50x = 289,780,401.13
  5. Step 5: Solve for x
    x = 289,780,401.13/10,984.50
  6. Step 6: Final answer
    x = 26,380.85

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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.