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Finding the Third Proportional to 18,531.50 and 27,179

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Solution

The third proportional to 18,531.50 and 27,179 is: 39,861.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,531.50 : 27,179 = 27,179 : x
  2. Step 2: Convert to fraction form
    18,531.50/27,179 = 27,179/x
  3. Step 3: Cross multiply
    18,531.50x = 27,179 × 27,179
  4. Step 4: Simplify right side
    18,531.50x = 738,698,041
  5. Step 5: Solve for x
    x = 738,698,041/18,531.50
  6. Step 6: Final answer
    x = 39,861.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.