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Finding the Third Proportional to 15,584 and 33,811

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Solution

The third proportional to 15,584 and 33,811 is: 73,356.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,584 : 33,811 = 33,811 : x
  2. Step 2: Convert to fraction form
    15,584/33,811 = 33,811/x
  3. Step 3: Cross multiply
    15,584x = 33,811 × 33,811
  4. Step 4: Simplify right side
    15,584x = 1,143,183,721
  5. Step 5: Solve for x
    x = 1,143,183,721/15,584
  6. Step 6: Final answer
    x = 73,356.24

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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.