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Finding the Third Proportional to 6,404 and 6,956

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Solution

The third proportional to 6,404 and 6,956 is: 7,555.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404 : 6,956 = 6,956 : x
  2. Step 2: Convert to fraction form
    6,404/6,956 = 6,956/x
  3. Step 3: Cross multiply
    6,404x = 6,956 × 6,956
  4. Step 4: Simplify right side
    6,404x = 48,385,936
  5. Step 5: Solve for x
    x = 48,385,936/6,404
  6. Step 6: Final answer
    x = 7,555.58

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.