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Finding the Third Proportional to 23,755.88 and 51,194.25

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Solution

The third proportional to 23,755.88 and 51,194.25 is: 110,324.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,755.88 : 51,194.25 = 51,194.25 : x
  2. Step 2: Convert to fraction form
    23,755.88/51,194.25 = 51,194.25/x
  3. Step 3: Cross multiply
    23,755.88x = 51,194.25 × 51,194.25
  4. Step 4: Simplify right side
    23,755.88x = 2,620,851,233.06
  5. Step 5: Solve for x
    x = 2,620,851,233.06/23,755.88
  6. Step 6: Final answer
    x = 110,324.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.