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Finding the Third Proportional to 4,382.54 and 9,168.74

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Solution

The third proportional to 4,382.54 and 9,168.74 is: 19,181.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,382.54 : 9,168.74 = 9,168.74 : x
  2. Step 2: Convert to fraction form
    4,382.54/9,168.74 = 9,168.74/x
  3. Step 3: Cross multiply
    4,382.54x = 9,168.74 × 9,168.74
  4. Step 4: Simplify right side
    4,382.54x = 84,065,815.39
  5. Step 5: Solve for x
    x = 84,065,815.39/4,382.54
  6. Step 6: Final answer
    x = 19,181.97

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.