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Finding the Third Proportional to 1,834 and 4,411

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Solution

The third proportional to 1,834 and 4,411 is: 10,609.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834 : 4,411 = 4,411 : x
  2. Step 2: Convert to fraction form
    1,834/4,411 = 4,411/x
  3. Step 3: Cross multiply
    1,834x = 4,411 × 4,411
  4. Step 4: Simplify right side
    1,834x = 19,456,921
  5. Step 5: Solve for x
    x = 19,456,921/1,834
  6. Step 6: Final answer
    x = 10,609.01

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.