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Finding the Third Proportional to 15,606 and 33,838

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Solution

The third proportional to 15,606 and 33,838 is: 73,369.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,606 : 33,838 = 33,838 : x
  2. Step 2: Convert to fraction form
    15,606/33,838 = 33,838/x
  3. Step 3: Cross multiply
    15,606x = 33,838 × 33,838
  4. Step 4: Simplify right side
    15,606x = 1,145,010,244
  5. Step 5: Solve for x
    x = 1,145,010,244/15,606
  6. Step 6: Final answer
    x = 73,369.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.