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Finding the Third Proportional to 4,201.25 and 6,354.75

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Solution

The third proportional to 4,201.25 and 6,354.75 is: 9,612.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.25 : 6,354.75 = 6,354.75 : x
  2. Step 2: Convert to fraction form
    4,201.25/6,354.75 = 6,354.75/x
  3. Step 3: Cross multiply
    4,201.25x = 6,354.75 × 6,354.75
  4. Step 4: Simplify right side
    4,201.25x = 40,382,847.56
  5. Step 5: Solve for x
    x = 40,382,847.56/4,201.25
  6. Step 6: Final answer
    x = 9,612.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.