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Finding the Third Proportional to 6,884 and 7,908

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Solution

The third proportional to 6,884 and 7,908 is: 9,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884 : 7,908 = 7,908 : x
  2. Step 2: Convert to fraction form
    6,884/7,908 = 7,908/x
  3. Step 3: Cross multiply
    6,884x = 7,908 × 7,908
  4. Step 4: Simplify right side
    6,884x = 62,536,464
  5. Step 5: Solve for x
    x = 62,536,464/6,884
  6. Step 6: Final answer
    x = 9,084.32

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.