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Finding the Third Proportional to 2,836.27 and 7,643.11

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Solution

The third proportional to 2,836.27 and 7,643.11 is: 20,596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.27 : 7,643.11 = 7,643.11 : x
  2. Step 2: Convert to fraction form
    2,836.27/7,643.11 = 7,643.11/x
  3. Step 3: Cross multiply
    2,836.27x = 7,643.11 × 7,643.11
  4. Step 4: Simplify right side
    2,836.27x = 58,417,120.92
  5. Step 5: Solve for x
    x = 58,417,120.92/2,836.27
  6. Step 6: Final answer
    x = 20,596.49

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.