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Finding the Third Proportional to 11,710 and 20,824

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Solution

The third proportional to 11,710 and 20,824 is: 37,031.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710 : 20,824 = 20,824 : x
  2. Step 2: Convert to fraction form
    11,710/20,824 = 20,824/x
  3. Step 3: Cross multiply
    11,710x = 20,824 × 20,824
  4. Step 4: Simplify right side
    11,710x = 433,638,976
  5. Step 5: Solve for x
    x = 433,638,976/11,710
  6. Step 6: Final answer
    x = 37,031.51

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.