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Finding the Third Proportional to 4,118 and 10,834

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Solution

The third proportional to 4,118 and 10,834 is: 28,503.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,118 : 10,834 = 10,834 : x
  2. Step 2: Convert to fraction form
    4,118/10,834 = 10,834/x
  3. Step 3: Cross multiply
    4,118x = 10,834 × 10,834
  4. Step 4: Simplify right side
    4,118x = 117,375,556
  5. Step 5: Solve for x
    x = 117,375,556/4,118
  6. Step 6: Final answer
    x = 28,503.05

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.