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Finding the Third Proportional to 27,441 and 41,092.50

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Solution

The third proportional to 27,441 and 41,092.50 is: 61,535.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,441 : 41,092.50 = 41,092.50 : x
  2. Step 2: Convert to fraction form
    27,441/41,092.50 = 41,092.50/x
  3. Step 3: Cross multiply
    27,441x = 41,092.50 × 41,092.50
  4. Step 4: Simplify right side
    27,441x = 1,688,593,556.25
  5. Step 5: Solve for x
    x = 1,688,593,556.25/27,441
  6. Step 6: Final answer
    x = 61,535.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.