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Finding the Third Proportional to 11,920 and 27,711

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Solution

The third proportional to 11,920 and 27,711 is: 64,421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920 : 27,711 = 27,711 : x
  2. Step 2: Convert to fraction form
    11,920/27,711 = 27,711/x
  3. Step 3: Cross multiply
    11,920x = 27,711 × 27,711
  4. Step 4: Simplify right side
    11,920x = 767,899,521
  5. Step 5: Solve for x
    x = 767,899,521/11,920
  6. Step 6: Final answer
    x = 64,421.10

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.