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Finding the Third Proportional to 27,367.50 and 41,250

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Solution

The third proportional to 27,367.50 and 41,250 is: 62,174.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,367.50 : 41,250 = 41,250 : x
  2. Step 2: Convert to fraction form
    27,367.50/41,250 = 41,250/x
  3. Step 3: Cross multiply
    27,367.50x = 41,250 × 41,250
  4. Step 4: Simplify right side
    27,367.50x = 1,701,562,500
  5. Step 5: Solve for x
    x = 1,701,562,500/27,367.50
  6. Step 6: Final answer
    x = 62,174.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.