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Finding the Third Proportional to 25,935.75 and 52,821.75

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Solution

The third proportional to 25,935.75 and 52,821.75 is: 107,578.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,935.75 : 52,821.75 = 52,821.75 : x
  2. Step 2: Convert to fraction form
    25,935.75/52,821.75 = 52,821.75/x
  3. Step 3: Cross multiply
    25,935.75x = 52,821.75 × 52,821.75
  4. Step 4: Simplify right side
    25,935.75x = 2,790,137,273.06
  5. Step 5: Solve for x
    x = 2,790,137,273.06/25,935.75
  6. Step 6: Final answer
    x = 107,578.82

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.