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Finding the Third Proportional to 25,074.56 and 38,105.44

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Solution

The third proportional to 25,074.56 and 38,105.44 is: 57,908.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,074.56 : 38,105.44 = 38,105.44 : x
  2. Step 2: Convert to fraction form
    25,074.56/38,105.44 = 38,105.44/x
  3. Step 3: Cross multiply
    25,074.56x = 38,105.44 × 38,105.44
  4. Step 4: Simplify right side
    25,074.56x = 1,452,024,367.07
  5. Step 5: Solve for x
    x = 1,452,024,367.07/25,074.56
  6. Step 6: Final answer
    x = 57,908.26

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.