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Finding the Third Proportional to 6,964 and 7,956

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Solution

The third proportional to 6,964 and 7,956 is: 9,089.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964 : 7,956 = 7,956 : x
  2. Step 2: Convert to fraction form
    6,964/7,956 = 7,956/x
  3. Step 3: Cross multiply
    6,964x = 7,956 × 7,956
  4. Step 4: Simplify right side
    6,964x = 63,297,936
  5. Step 5: Solve for x
    x = 63,297,936/6,964
  6. Step 6: Final answer
    x = 9,089.31

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.