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Finding the Third Proportional to 21,256 and 32,456

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Solution

The third proportional to 21,256 and 32,456 is: 49,557.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,256 : 32,456 = 32,456 : x
  2. Step 2: Convert to fraction form
    21,256/32,456 = 32,456/x
  3. Step 3: Cross multiply
    21,256x = 32,456 × 32,456
  4. Step 4: Simplify right side
    21,256x = 1,053,391,936
  5. Step 5: Solve for x
    x = 1,053,391,936/21,256
  6. Step 6: Final answer
    x = 49,557.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.