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Finding the Third Proportional to 3,904 and 6,943

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Solution

The third proportional to 3,904 and 6,943 is: 12,347.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904 : 6,943 = 6,943 : x
  2. Step 2: Convert to fraction form
    3,904/6,943 = 6,943/x
  3. Step 3: Cross multiply
    3,904x = 6,943 × 6,943
  4. Step 4: Simplify right side
    3,904x = 48,205,249
  5. Step 5: Solve for x
    x = 48,205,249/3,904
  6. Step 6: Final answer
    x = 12,347.66

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.