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Finding the Third Proportional to 1,054.26 and 2,440.62

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Solution

The third proportional to 1,054.26 and 2,440.62 is: 5,650.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.26 : 2,440.62 = 2,440.62 : x
  2. Step 2: Convert to fraction form
    1,054.26/2,440.62 = 2,440.62/x
  3. Step 3: Cross multiply
    1,054.26x = 2,440.62 × 2,440.62
  4. Step 4: Simplify right side
    1,054.26x = 5,956,622.98
  5. Step 5: Solve for x
    x = 5,956,622.98/1,054.26
  6. Step 6: Final answer
    x = 5,650.07

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.