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Finding the Third Proportional to 4,032.38 and 8,226.75

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Solution

The third proportional to 4,032.38 and 8,226.75 is: 16,784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,032.38 : 8,226.75 = 8,226.75 : x
  2. Step 2: Convert to fraction form
    4,032.38/8,226.75 = 8,226.75/x
  3. Step 3: Cross multiply
    4,032.38x = 8,226.75 × 8,226.75
  4. Step 4: Simplify right side
    4,032.38x = 67,679,415.56
  5. Step 5: Solve for x
    x = 67,679,415.56/4,032.38
  6. Step 6: Final answer
    x = 16,784.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.