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Finding the Third Proportional to 4,435 and 6,956

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Solution

The third proportional to 4,435 and 6,956 is: 10,910.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,435 : 6,956 = 6,956 : x
  2. Step 2: Convert to fraction form
    4,435/6,956 = 6,956/x
  3. Step 3: Cross multiply
    4,435x = 6,956 × 6,956
  4. Step 4: Simplify right side
    4,435x = 48,385,936
  5. Step 5: Solve for x
    x = 48,385,936/4,435
  6. Step 6: Final answer
    x = 10,910.02

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.