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Finding the Third Proportional to 7,837 and 10,747

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Solution

The third proportional to 7,837 and 10,747 is: 14,737.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837 : 10,747 = 10,747 : x
  2. Step 2: Convert to fraction form
    7,837/10,747 = 10,747/x
  3. Step 3: Cross multiply
    7,837x = 10,747 × 10,747
  4. Step 4: Simplify right side
    7,837x = 115,498,009
  5. Step 5: Solve for x
    x = 115,498,009/7,837
  6. Step 6: Final answer
    x = 14,737.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.