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Finding the Third Proportional to 3,834 and 5,943

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Solution

The third proportional to 3,834 and 5,943 is: 9,212.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834 : 5,943 = 5,943 : x
  2. Step 2: Convert to fraction form
    3,834/5,943 = 5,943/x
  3. Step 3: Cross multiply
    3,834x = 5,943 × 5,943
  4. Step 4: Simplify right side
    3,834x = 35,319,249
  5. Step 5: Solve for x
    x = 35,319,249/3,834
  6. Step 6: Final answer
    x = 9,212.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.