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Finding the Third Proportional to 25,629.75 and 55,631.25

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Solution

The third proportional to 25,629.75 and 55,631.25 is: 120,751.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,629.75 : 55,631.25 = 55,631.25 : x
  2. Step 2: Convert to fraction form
    25,629.75/55,631.25 = 55,631.25/x
  3. Step 3: Cross multiply
    25,629.75x = 55,631.25 × 55,631.25
  4. Step 4: Simplify right side
    25,629.75x = 3,094,835,976.56
  5. Step 5: Solve for x
    x = 3,094,835,976.56/25,629.75
  6. Step 6: Final answer
    x = 120,751.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.