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Finding the Third Proportional to 3,906.56 and 4,352.06

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Solution

The third proportional to 3,906.56 and 4,352.06 is: 4,848.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.56 : 4,352.06 = 4,352.06 : x
  2. Step 2: Convert to fraction form
    3,906.56/4,352.06 = 4,352.06/x
  3. Step 3: Cross multiply
    3,906.56x = 4,352.06 × 4,352.06
  4. Step 4: Simplify right side
    3,906.56x = 18,940,448.00
  5. Step 5: Solve for x
    x = 18,940,448.00/3,906.56
  6. Step 6: Final answer
    x = 4,848.37

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.