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Finding the Third Proportional to 11,172.94 and 24,382.69

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Solution

The third proportional to 11,172.94 and 24,382.69 is: 53,210.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,172.94 : 24,382.69 = 24,382.69 : x
  2. Step 2: Convert to fraction form
    11,172.94/24,382.69 = 24,382.69/x
  3. Step 3: Cross multiply
    11,172.94x = 24,382.69 × 24,382.69
  4. Step 4: Simplify right side
    11,172.94x = 594,515,449.72
  5. Step 5: Solve for x
    x = 594,515,449.72/11,172.94
  6. Step 6: Final answer
    x = 53,210.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.