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Finding the Third Proportional to 25,483 and 54,061

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Solution

The third proportional to 25,483 and 54,061 is: 114,687.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,483 : 54,061 = 54,061 : x
  2. Step 2: Convert to fraction form
    25,483/54,061 = 54,061/x
  3. Step 3: Cross multiply
    25,483x = 54,061 × 54,061
  4. Step 4: Simplify right side
    25,483x = 2,922,591,721
  5. Step 5: Solve for x
    x = 2,922,591,721/25,483
  6. Step 6: Final answer
    x = 114,687.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.