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Finding the Third Proportional to 25,454.25 and 60,183

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Solution

The third proportional to 25,454.25 and 60,183 is: 142,294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,454.25 : 60,183 = 60,183 : x
  2. Step 2: Convert to fraction form
    25,454.25/60,183 = 60,183/x
  3. Step 3: Cross multiply
    25,454.25x = 60,183 × 60,183
  4. Step 4: Simplify right side
    25,454.25x = 3,621,993,489
  5. Step 5: Solve for x
    x = 3,621,993,489/25,454.25
  6. Step 6: Final answer
    x = 142,294.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.