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Finding the Third Proportional to 25,818.75 and 54,712.97

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Solution

The third proportional to 25,818.75 and 54,712.97 is: 115,943.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,818.75 : 54,712.97 = 54,712.97 : x
  2. Step 2: Convert to fraction form
    25,818.75/54,712.97 = 54,712.97/x
  3. Step 3: Cross multiply
    25,818.75x = 54,712.97 × 54,712.97
  4. Step 4: Simplify right side
    25,818.75x = 2,993,508,949.44
  5. Step 5: Solve for x
    x = 2,993,508,949.44/25,818.75
  6. Step 6: Final answer
    x = 115,943.22

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.