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Finding the Third Proportional to 23,858.44 and 51,382.13

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Solution

The third proportional to 23,858.44 and 51,382.13 is: 110,657.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,858.44 : 51,382.13 = 51,382.13 : x
  2. Step 2: Convert to fraction form
    23,858.44/51,382.13 = 51,382.13/x
  3. Step 3: Cross multiply
    23,858.44x = 51,382.13 × 51,382.13
  4. Step 4: Simplify right side
    23,858.44x = 2,640,122,769.52
  5. Step 5: Solve for x
    x = 2,640,122,769.52/23,858.44
  6. Step 6: Final answer
    x = 110,657.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.