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Finding the Third Proportional to 25,100 and 54,573

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Solution

The third proportional to 25,100 and 54,573 is: 118,653.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,100 : 54,573 = 54,573 : x
  2. Step 2: Convert to fraction form
    25,100/54,573 = 54,573/x
  3. Step 3: Cross multiply
    25,100x = 54,573 × 54,573
  4. Step 4: Simplify right side
    25,100x = 2,978,212,329
  5. Step 5: Solve for x
    x = 2,978,212,329/25,100
  6. Step 6: Final answer
    x = 118,653.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.