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Finding the Third Proportional to 17,382.09 and 24,182.30

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Solution

The third proportional to 17,382.09 and 24,182.30 is: 33,642.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,382.09 : 24,182.30 = 24,182.30 : x
  2. Step 2: Convert to fraction form
    17,382.09/24,182.30 = 24,182.30/x
  3. Step 3: Cross multiply
    17,382.09x = 24,182.30 × 24,182.30
  4. Step 4: Simplify right side
    17,382.09x = 584,783,482.15
  5. Step 5: Solve for x
    x = 584,783,482.15/17,382.09
  6. Step 6: Final answer
    x = 33,642.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.