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Finding the Third Proportional to 25,506.75 and 54,101.25

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Solution

The third proportional to 25,506.75 and 54,101.25 is: 114,751.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,506.75 : 54,101.25 = 54,101.25 : x
  2. Step 2: Convert to fraction form
    25,506.75/54,101.25 = 54,101.25/x
  3. Step 3: Cross multiply
    25,506.75x = 54,101.25 × 54,101.25
  4. Step 4: Simplify right side
    25,506.75x = 2,926,945,251.56
  5. Step 5: Solve for x
    x = 2,926,945,251.56/25,506.75
  6. Step 6: Final answer
    x = 114,751.79

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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.