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Finding the Third Proportional to 17,382.56 and 23,305.69

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Solution

The third proportional to 17,382.56 and 23,305.69 is: 31,247.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,382.56 : 23,305.69 = 23,305.69 : x
  2. Step 2: Convert to fraction form
    17,382.56/23,305.69 = 23,305.69/x
  3. Step 3: Cross multiply
    17,382.56x = 23,305.69 × 23,305.69
  4. Step 4: Simplify right side
    17,382.56x = 543,155,069.85
  5. Step 5: Solve for x
    x = 543,155,069.85/17,382.56
  6. Step 6: Final answer
    x = 31,247.12

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.