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Finding the Third Proportional to 6,026 and 6,938

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Solution

The third proportional to 6,026 and 6,938 is: 7,988.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,026 : 6,938 = 6,938 : x
  2. Step 2: Convert to fraction form
    6,026/6,938 = 6,938/x
  3. Step 3: Cross multiply
    6,026x = 6,938 × 6,938
  4. Step 4: Simplify right side
    6,026x = 48,135,844
  5. Step 5: Solve for x
    x = 48,135,844/6,026
  6. Step 6: Final answer
    x = 7,988.03

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.