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Finding the Third Proportional to 1,260.07 and 2,738.74

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Solution

The third proportional to 1,260.07 and 2,738.74 is: 5,952.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.07 : 2,738.74 = 2,738.74 : x
  2. Step 2: Convert to fraction form
    1,260.07/2,738.74 = 2,738.74/x
  3. Step 3: Cross multiply
    1,260.07x = 2,738.74 × 2,738.74
  4. Step 4: Simplify right side
    1,260.07x = 7,500,708.77
  5. Step 5: Solve for x
    x = 7,500,708.77/1,260.07
  6. Step 6: Final answer
    x = 5,952.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.