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Finding the Third Proportional to 10,767 and 23,232

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Solution

The third proportional to 10,767 and 23,232 is: 50,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767 : 23,232 = 23,232 : x
  2. Step 2: Convert to fraction form
    10,767/23,232 = 23,232/x
  3. Step 3: Cross multiply
    10,767x = 23,232 × 23,232
  4. Step 4: Simplify right side
    10,767x = 539,725,824
  5. Step 5: Solve for x
    x = 539,725,824/10,767
  6. Step 6: Final answer
    x = 50,127.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.