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Finding the Third Proportional to 6,823 and 12,061

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Solution

The third proportional to 6,823 and 12,061 is: 21,320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823 : 12,061 = 12,061 : x
  2. Step 2: Convert to fraction form
    6,823/12,061 = 12,061/x
  3. Step 3: Cross multiply
    6,823x = 12,061 × 12,061
  4. Step 4: Simplify right side
    6,823x = 145,467,721
  5. Step 5: Solve for x
    x = 145,467,721/6,823
  6. Step 6: Final answer
    x = 21,320.20

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.