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Finding the Third Proportional to 6,906 and 16,374

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Solution

The third proportional to 6,906 and 16,374 is: 38,822.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906 : 16,374 = 16,374 : x
  2. Step 2: Convert to fraction form
    6,906/16,374 = 16,374/x
  3. Step 3: Cross multiply
    6,906x = 16,374 × 16,374
  4. Step 4: Simplify right side
    6,906x = 268,107,876
  5. Step 5: Solve for x
    x = 268,107,876/6,906
  6. Step 6: Final answer
    x = 38,822.46

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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.