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Finding the Third Proportional to 7,837 and 11,324

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Solution

The third proportional to 7,837 and 11,324 is: 16,362.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837 : 11,324 = 11,324 : x
  2. Step 2: Convert to fraction form
    7,837/11,324 = 11,324/x
  3. Step 3: Cross multiply
    7,837x = 11,324 × 11,324
  4. Step 4: Simplify right side
    7,837x = 128,232,976
  5. Step 5: Solve for x
    x = 128,232,976/7,837
  6. Step 6: Final answer
    x = 16,362.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.