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Finding the Third Proportional to 1,833 and 3,909

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Solution

The third proportional to 1,833 and 3,909 is: 8,336.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833 : 3,909 = 3,909 : x
  2. Step 2: Convert to fraction form
    1,833/3,909 = 3,909/x
  3. Step 3: Cross multiply
    1,833x = 3,909 × 3,909
  4. Step 4: Simplify right side
    1,833x = 15,280,281
  5. Step 5: Solve for x
    x = 15,280,281/1,833
  6. Step 6: Final answer
    x = 8,336.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.