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Finding the Third Proportional to 2,014.00 and 4,425.26

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Solution

The third proportional to 2,014.00 and 4,425.26 is: 9,723.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.00 : 4,425.26 = 4,425.26 : x
  2. Step 2: Convert to fraction form
    2,014.00/4,425.26 = 4,425.26/x
  3. Step 3: Cross multiply
    2,014.00x = 4,425.26 × 4,425.26
  4. Step 4: Simplify right side
    2,014.00x = 19,582,906.71
  5. Step 5: Solve for x
    x = 19,582,906.71/2,014.00
  6. Step 6: Final answer
    x = 9,723.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.