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Finding the Third Proportional to 15,422 and 33,184

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Solution

The third proportional to 15,422 and 33,184 is: 71,403.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,422 : 33,184 = 33,184 : x
  2. Step 2: Convert to fraction form
    15,422/33,184 = 33,184/x
  3. Step 3: Cross multiply
    15,422x = 33,184 × 33,184
  4. Step 4: Simplify right side
    15,422x = 1,101,177,856
  5. Step 5: Solve for x
    x = 1,101,177,856/15,422
  6. Step 6: Final answer
    x = 71,403.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.