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Finding the Third Proportional to 2,469 and 3,207

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Solution

The third proportional to 2,469 and 3,207 is: 4,165.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469 : 3,207 = 3,207 : x
  2. Step 2: Convert to fraction form
    2,469/3,207 = 3,207/x
  3. Step 3: Cross multiply
    2,469x = 3,207 × 3,207
  4. Step 4: Simplify right side
    2,469x = 10,284,849
  5. Step 5: Solve for x
    x = 10,284,849/2,469
  6. Step 6: Final answer
    x = 4,165.59

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.