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Finding the Third Proportional to 11,721 and 24,882

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Solution

The third proportional to 11,721 and 24,882 is: 52,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,721 : 24,882 = 24,882 : x
  2. Step 2: Convert to fraction form
    11,721/24,882 = 24,882/x
  3. Step 3: Cross multiply
    11,721x = 24,882 × 24,882
  4. Step 4: Simplify right side
    11,721x = 619,113,924
  5. Step 5: Solve for x
    x = 619,113,924/11,721
  6. Step 6: Final answer
    x = 52,820.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.