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Finding the Third Proportional to 6,374 and 6,995

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Solution

The third proportional to 6,374 and 6,995 is: 7,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374 : 6,995 = 6,995 : x
  2. Step 2: Convert to fraction form
    6,374/6,995 = 6,995/x
  3. Step 3: Cross multiply
    6,374x = 6,995 × 6,995
  4. Step 4: Simplify right side
    6,374x = 48,930,025
  5. Step 5: Solve for x
    x = 48,930,025/6,374
  6. Step 6: Final answer
    x = 7,676.50

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.