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Finding the Third Proportional to 12,353.50 and 27,167

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Solution

The third proportional to 12,353.50 and 27,167 is: 59,743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,353.50 : 27,167 = 27,167 : x
  2. Step 2: Convert to fraction form
    12,353.50/27,167 = 27,167/x
  3. Step 3: Cross multiply
    12,353.50x = 27,167 × 27,167
  4. Step 4: Simplify right side
    12,353.50x = 738,045,889
  5. Step 5: Solve for x
    x = 738,045,889/12,353.50
  6. Step 6: Final answer
    x = 59,743.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.