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Finding the Third Proportional to 10,834 and 11,806

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Solution

The third proportional to 10,834 and 11,806 is: 12,865.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834 : 11,806 = 11,806 : x
  2. Step 2: Convert to fraction form
    10,834/11,806 = 11,806/x
  3. Step 3: Cross multiply
    10,834x = 11,806 × 11,806
  4. Step 4: Simplify right side
    10,834x = 139,381,636
  5. Step 5: Solve for x
    x = 139,381,636/10,834
  6. Step 6: Final answer
    x = 12,865.21

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.