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Finding the Third Proportional to 28,794 and 67,314

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Solution

The third proportional to 28,794 and 67,314 is: 157,365.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,794 : 67,314 = 67,314 : x
  2. Step 2: Convert to fraction form
    28,794/67,314 = 67,314/x
  3. Step 3: Cross multiply
    28,794x = 67,314 × 67,314
  4. Step 4: Simplify right side
    28,794x = 4,531,174,596
  5. Step 5: Solve for x
    x = 4,531,174,596/28,794
  6. Step 6: Final answer
    x = 157,365.24

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.