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Finding the Third Proportional to 25,482 and 54,059

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Solution

The third proportional to 25,482 and 54,059 is: 114,683.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,482 : 54,059 = 54,059 : x
  2. Step 2: Convert to fraction form
    25,482/54,059 = 54,059/x
  3. Step 3: Cross multiply
    25,482x = 54,059 × 54,059
  4. Step 4: Simplify right side
    25,482x = 2,922,375,481
  5. Step 5: Solve for x
    x = 2,922,375,481/25,482
  6. Step 6: Final answer
    x = 114,683.91

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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.