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Finding the Third Proportional to 4,189 and 6,284

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Solution

The third proportional to 4,189 and 6,284 is: 9,426.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189 : 6,284 = 6,284 : x
  2. Step 2: Convert to fraction form
    4,189/6,284 = 6,284/x
  3. Step 3: Cross multiply
    4,189x = 6,284 × 6,284
  4. Step 4: Simplify right side
    4,189x = 39,488,656
  5. Step 5: Solve for x
    x = 39,488,656/4,189
  6. Step 6: Final answer
    x = 9,426.75

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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.