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Finding the Third Proportional to 15,580 and 33,812

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Solution

The third proportional to 15,580 and 33,812 is: 73,379.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,580 : 33,812 = 33,812 : x
  2. Step 2: Convert to fraction form
    15,580/33,812 = 33,812/x
  3. Step 3: Cross multiply
    15,580x = 33,812 × 33,812
  4. Step 4: Simplify right side
    15,580x = 1,143,251,344
  5. Step 5: Solve for x
    x = 1,143,251,344/15,580
  6. Step 6: Final answer
    x = 73,379.42

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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.