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Finding the Third Proportional to 15,174.25 and 33,116

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Solution

The third proportional to 15,174.25 and 33,116 is: 72,271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,174.25 : 33,116 = 33,116 : x
  2. Step 2: Convert to fraction form
    15,174.25/33,116 = 33,116/x
  3. Step 3: Cross multiply
    15,174.25x = 33,116 × 33,116
  4. Step 4: Simplify right side
    15,174.25x = 1,096,669,456
  5. Step 5: Solve for x
    x = 1,096,669,456/15,174.25
  6. Step 6: Final answer
    x = 72,271.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.