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Finding the Third Proportional to 10,984.13 and 17,022.38

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Solution

The third proportional to 10,984.13 and 17,022.38 is: 26,380.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984.13 : 17,022.38 = 17,022.38 : x
  2. Step 2: Convert to fraction form
    10,984.13/17,022.38 = 17,022.38/x
  3. Step 3: Cross multiply
    10,984.13x = 17,022.38 × 17,022.38
  4. Step 4: Simplify right side
    10,984.13x = 289,761,250.64
  5. Step 5: Solve for x
    x = 289,761,250.64/10,984.13
  6. Step 6: Final answer
    x = 26,380.00

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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.