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Finding the Third Proportional to 6,764 and 8,914

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Solution

The third proportional to 6,764 and 8,914 is: 11,747.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764 : 8,914 = 8,914 : x
  2. Step 2: Convert to fraction form
    6,764/8,914 = 8,914/x
  3. Step 3: Cross multiply
    6,764x = 8,914 × 8,914
  4. Step 4: Simplify right side
    6,764x = 79,459,396
  5. Step 5: Solve for x
    x = 79,459,396/6,764
  6. Step 6: Final answer
    x = 11,747.40

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.