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Finding the Third Proportional to 12,794 and 27,531.50

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Solution

The third proportional to 12,794 and 27,531.50 is: 59,245.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794 : 27,531.50 = 27,531.50 : x
  2. Step 2: Convert to fraction form
    12,794/27,531.50 = 27,531.50/x
  3. Step 3: Cross multiply
    12,794x = 27,531.50 × 27,531.50
  4. Step 4: Simplify right side
    12,794x = 757,983,492.25
  5. Step 5: Solve for x
    x = 757,983,492.25/12,794
  6. Step 6: Final answer
    x = 59,245.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.