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Finding the Third Proportional to 4,288.25 and 6,414.38

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Solution

The third proportional to 4,288.25 and 6,414.38 is: 9,594.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288.25 : 6,414.38 = 6,414.38 : x
  2. Step 2: Convert to fraction form
    4,288.25/6,414.38 = 6,414.38/x
  3. Step 3: Cross multiply
    4,288.25x = 6,414.38 × 6,414.38
  4. Step 4: Simplify right side
    4,288.25x = 41,144,206.64
  5. Step 5: Solve for x
    x = 41,144,206.64/4,288.25
  6. Step 6: Final answer
    x = 9,594.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.