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Finding the Third Proportional to 27,838.69 and 41,082.19

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Solution

The third proportional to 27,838.69 and 41,082.19 is: 60,625.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,838.69 : 41,082.19 = 41,082.19 : x
  2. Step 2: Convert to fraction form
    27,838.69/41,082.19 = 41,082.19/x
  3. Step 3: Cross multiply
    27,838.69x = 41,082.19 × 41,082.19
  4. Step 4: Simplify right side
    27,838.69x = 1,687,746,129.79
  5. Step 5: Solve for x
    x = 1,687,746,129.79/27,838.69
  6. Step 6: Final answer
    x = 60,625.92

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.