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Finding the Third Proportional to 25,856 and 56,256

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Solution

The third proportional to 25,856 and 56,256 is: 122,398.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,856 : 56,256 = 56,256 : x
  2. Step 2: Convert to fraction form
    25,856/56,256 = 56,256/x
  3. Step 3: Cross multiply
    25,856x = 56,256 × 56,256
  4. Step 4: Simplify right side
    25,856x = 3,164,737,536
  5. Step 5: Solve for x
    x = 3,164,737,536/25,856
  6. Step 6: Final answer
    x = 122,398.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.