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Finding the Third Proportional to 11,972 and 25,573

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Solution

The third proportional to 11,972 and 25,573 is: 54,625.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972 : 25,573 = 25,573 : x
  2. Step 2: Convert to fraction form
    11,972/25,573 = 25,573/x
  3. Step 3: Cross multiply
    11,972x = 25,573 × 25,573
  4. Step 4: Simplify right side
    11,972x = 653,978,329
  5. Step 5: Solve for x
    x = 653,978,329/11,972
  6. Step 6: Final answer
    x = 54,625.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.