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Finding the Third Proportional to 2,767.92 and 5,792.13

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Solution

The third proportional to 2,767.92 and 5,792.13 is: 12,120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.92 : 5,792.13 = 5,792.13 : x
  2. Step 2: Convert to fraction form
    2,767.92/5,792.13 = 5,792.13/x
  3. Step 3: Cross multiply
    2,767.92x = 5,792.13 × 5,792.13
  4. Step 4: Simplify right side
    2,767.92x = 33,548,802.52
  5. Step 5: Solve for x
    x = 33,548,802.52/2,767.92
  6. Step 6: Final answer
    x = 12,120.57

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.