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Finding the Third Proportional to 7,379 and 10,542

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Solution

The third proportional to 7,379 and 10,542 is: 15,060.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,379 : 10,542 = 10,542 : x
  2. Step 2: Convert to fraction form
    7,379/10,542 = 10,542/x
  3. Step 3: Cross multiply
    7,379x = 10,542 × 10,542
  4. Step 4: Simplify right side
    7,379x = 111,133,764
  5. Step 5: Solve for x
    x = 111,133,764/7,379
  6. Step 6: Final answer
    x = 15,060.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.