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Finding the Third Proportional to 25,198 and 52,826

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Solution

The third proportional to 25,198 and 52,826 is: 110,746.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,198 : 52,826 = 52,826 : x
  2. Step 2: Convert to fraction form
    25,198/52,826 = 52,826/x
  3. Step 3: Cross multiply
    25,198x = 52,826 × 52,826
  4. Step 4: Simplify right side
    25,198x = 2,790,586,276
  5. Step 5: Solve for x
    x = 2,790,586,276/25,198
  6. Step 6: Final answer
    x = 110,746.34

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.