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Finding the Third Proportional to 6,884 and 14,938

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Solution

The third proportional to 6,884 and 14,938 is: 32,414.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884 : 14,938 = 14,938 : x
  2. Step 2: Convert to fraction form
    6,884/14,938 = 14,938/x
  3. Step 3: Cross multiply
    6,884x = 14,938 × 14,938
  4. Step 4: Simplify right side
    6,884x = 223,143,844
  5. Step 5: Solve for x
    x = 223,143,844/6,884
  6. Step 6: Final answer
    x = 32,414.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.