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Finding the Third Proportional to 27,471.50 and 41,189

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Solution

The third proportional to 27,471.50 and 41,189 is: 61,756.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,471.50 : 41,189 = 41,189 : x
  2. Step 2: Convert to fraction form
    27,471.50/41,189 = 41,189/x
  3. Step 3: Cross multiply
    27,471.50x = 41,189 × 41,189
  4. Step 4: Simplify right side
    27,471.50x = 1,696,533,721
  5. Step 5: Solve for x
    x = 1,696,533,721/27,471.50
  6. Step 6: Final answer
    x = 61,756.14

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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.