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Finding the Third Proportional to 1,834 and 4,353

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Solution

The third proportional to 1,834 and 4,353 is: 10,331.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834 : 4,353 = 4,353 : x
  2. Step 2: Convert to fraction form
    1,834/4,353 = 4,353/x
  3. Step 3: Cross multiply
    1,834x = 4,353 × 4,353
  4. Step 4: Simplify right side
    1,834x = 18,948,609
  5. Step 5: Solve for x
    x = 18,948,609/1,834
  6. Step 6: Final answer
    x = 10,331.85

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.