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Finding the Third Proportional to 15,094 and 33,176

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Solution

The third proportional to 15,094 and 33,176 is: 72,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,094 : 33,176 = 33,176 : x
  2. Step 2: Convert to fraction form
    15,094/33,176 = 33,176/x
  3. Step 3: Cross multiply
    15,094x = 33,176 × 33,176
  4. Step 4: Simplify right side
    15,094x = 1,100,646,976
  5. Step 5: Solve for x
    x = 1,100,646,976/15,094
  6. Step 6: Final answer
    x = 72,919.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.