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Finding the Third Proportional to 7,423 and 11,836

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Solution

The third proportional to 7,423 and 11,836 is: 18,872.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,423 : 11,836 = 11,836 : x
  2. Step 2: Convert to fraction form
    7,423/11,836 = 11,836/x
  3. Step 3: Cross multiply
    7,423x = 11,836 × 11,836
  4. Step 4: Simplify right side
    7,423x = 140,090,896
  5. Step 5: Solve for x
    x = 140,090,896/7,423
  6. Step 6: Final answer
    x = 18,872.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.