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Finding the Third Proportional to 9,856 and 25,936

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Solution

The third proportional to 9,856 and 25,936 is: 68,250.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856 : 25,936 = 25,936 : x
  2. Step 2: Convert to fraction form
    9,856/25,936 = 25,936/x
  3. Step 3: Cross multiply
    9,856x = 25,936 × 25,936
  4. Step 4: Simplify right side
    9,856x = 672,676,096
  5. Step 5: Solve for x
    x = 672,676,096/9,856
  6. Step 6: Final answer
    x = 68,250.42

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.