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Finding the Third Proportional to 25,697.25 and 53,976.38

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Solution

The third proportional to 25,697.25 and 53,976.38 is: 113,375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,697.25 : 53,976.38 = 53,976.38 : x
  2. Step 2: Convert to fraction form
    25,697.25/53,976.38 = 53,976.38/x
  3. Step 3: Cross multiply
    25,697.25x = 53,976.38 × 53,976.38
  4. Step 4: Simplify right side
    25,697.25x = 2,913,449,058.14
  5. Step 5: Solve for x
    x = 2,913,449,058.14/25,697.25
  6. Step 6: Final answer
    x = 113,375.91

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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.