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Finding the Third Proportional to 7,406 and 15,836

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Solution

The third proportional to 7,406 and 15,836 is: 33,861.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406 : 15,836 = 15,836 : x
  2. Step 2: Convert to fraction form
    7,406/15,836 = 15,836/x
  3. Step 3: Cross multiply
    7,406x = 15,836 × 15,836
  4. Step 4: Simplify right side
    7,406x = 250,778,896
  5. Step 5: Solve for x
    x = 250,778,896/7,406
  6. Step 6: Final answer
    x = 33,861.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.