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Finding the Third Proportional to 2,664.56 and 4,325.91

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Solution

The third proportional to 2,664.56 and 4,325.91 is: 7,023.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.56 : 4,325.91 = 4,325.91 : x
  2. Step 2: Convert to fraction form
    2,664.56/4,325.91 = 4,325.91/x
  3. Step 3: Cross multiply
    2,664.56x = 4,325.91 × 4,325.91
  4. Step 4: Simplify right side
    2,664.56x = 18,713,464.88
  5. Step 5: Solve for x
    x = 18,713,464.88/2,664.56
  6. Step 6: Final answer
    x = 7,023.09

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.