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Finding the Third Proportional to 15,997 and 25,558

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Solution

The third proportional to 15,997 and 25,558 is: 40,833.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,997 : 25,558 = 25,558 : x
  2. Step 2: Convert to fraction form
    15,997/25,558 = 25,558/x
  3. Step 3: Cross multiply
    15,997x = 25,558 × 25,558
  4. Step 4: Simplify right side
    15,997x = 653,211,364
  5. Step 5: Solve for x
    x = 653,211,364/15,997
  6. Step 6: Final answer
    x = 40,833.37

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.