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Finding the Third Proportional to 11,976 and 26,232

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Solution

The third proportional to 11,976 and 26,232 is: 57,458.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,976 : 26,232 = 26,232 : x
  2. Step 2: Convert to fraction form
    11,976/26,232 = 26,232/x
  3. Step 3: Cross multiply
    11,976x = 26,232 × 26,232
  4. Step 4: Simplify right side
    11,976x = 688,117,824
  5. Step 5: Solve for x
    x = 688,117,824/11,976
  6. Step 6: Final answer
    x = 57,458.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.