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Finding the Third Proportional to 11,725.50 and 25,151.25

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Solution

The third proportional to 11,725.50 and 25,151.25 is: 53,949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,725.50 : 25,151.25 = 25,151.25 : x
  2. Step 2: Convert to fraction form
    11,725.50/25,151.25 = 25,151.25/x
  3. Step 3: Cross multiply
    11,725.50x = 25,151.25 × 25,151.25
  4. Step 4: Simplify right side
    11,725.50x = 632,585,376.56
  5. Step 5: Solve for x
    x = 632,585,376.56/11,725.50
  6. Step 6: Final answer
    x = 53,949.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.