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Finding the Third Proportional to 6,877 and 14,645

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Solution

The third proportional to 6,877 and 14,645 is: 31,187.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877 : 14,645 = 14,645 : x
  2. Step 2: Convert to fraction form
    6,877/14,645 = 14,645/x
  3. Step 3: Cross multiply
    6,877x = 14,645 × 14,645
  4. Step 4: Simplify right side
    6,877x = 214,476,025
  5. Step 5: Solve for x
    x = 214,476,025/6,877
  6. Step 6: Final answer
    x = 31,187.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.