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Finding the Third Proportional to 7,832 and 10,740

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Solution

The third proportional to 7,832 and 10,740 is: 14,727.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832 : 10,740 = 10,740 : x
  2. Step 2: Convert to fraction form
    7,832/10,740 = 10,740/x
  3. Step 3: Cross multiply
    7,832x = 10,740 × 10,740
  4. Step 4: Simplify right side
    7,832x = 115,347,600
  5. Step 5: Solve for x
    x = 115,347,600/7,832
  6. Step 6: Final answer
    x = 14,727.73

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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.