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Finding the Third Proportional to 1,270.69 and 2,643.19

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Solution

The third proportional to 1,270.69 and 2,643.19 is: 5,498.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.69 : 2,643.19 = 2,643.19 : x
  2. Step 2: Convert to fraction form
    1,270.69/2,643.19 = 2,643.19/x
  3. Step 3: Cross multiply
    1,270.69x = 2,643.19 × 2,643.19
  4. Step 4: Simplify right side
    1,270.69x = 6,986,440.16
  5. Step 5: Solve for x
    x = 6,986,440.16/1,270.69
  6. Step 6: Final answer
    x = 5,498.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.