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Finding the Third Proportional to 6,077 and 12,877

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Solution

The third proportional to 6,077 and 12,877 is: 27,286.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077 : 12,877 = 12,877 : x
  2. Step 2: Convert to fraction form
    6,077/12,877 = 12,877/x
  3. Step 3: Cross multiply
    6,077x = 12,877 × 12,877
  4. Step 4: Simplify right side
    6,077x = 165,817,129
  5. Step 5: Solve for x
    x = 165,817,129/6,077
  6. Step 6: Final answer
    x = 27,286.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.