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Finding the Third Proportional to 15,192 and 32,976

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Solution

The third proportional to 15,192 and 32,976 is: 71,578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,192 : 32,976 = 32,976 : x
  2. Step 2: Convert to fraction form
    15,192/32,976 = 32,976/x
  3. Step 3: Cross multiply
    15,192x = 32,976 × 32,976
  4. Step 4: Simplify right side
    15,192x = 1,087,416,576
  5. Step 5: Solve for x
    x = 1,087,416,576/15,192
  6. Step 6: Final answer
    x = 71,578.24

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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.