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Finding the Third Proportional to 10,786 and 22,867

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Solution

The third proportional to 10,786 and 22,867 is: 48,479.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786 : 22,867 = 22,867 : x
  2. Step 2: Convert to fraction form
    10,786/22,867 = 22,867/x
  3. Step 3: Cross multiply
    10,786x = 22,867 × 22,867
  4. Step 4: Simplify right side
    10,786x = 522,899,689
  5. Step 5: Solve for x
    x = 522,899,689/10,786
  6. Step 6: Final answer
    x = 48,479.48

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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.