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Finding the Third Proportional to 24,192 and 50,328

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Solution

The third proportional to 24,192 and 50,328 is: 104,700.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,192 : 50,328 = 50,328 : x
  2. Step 2: Convert to fraction form
    24,192/50,328 = 50,328/x
  3. Step 3: Cross multiply
    24,192x = 50,328 × 50,328
  4. Step 4: Simplify right side
    24,192x = 2,532,907,584
  5. Step 5: Solve for x
    x = 2,532,907,584/24,192
  6. Step 6: Final answer
    x = 104,700.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.