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Finding the Third Proportional to 3,209 and 4,863

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Solution

The third proportional to 3,209 and 4,863 is: 7,369.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209 : 4,863 = 4,863 : x
  2. Step 2: Convert to fraction form
    3,209/4,863 = 4,863/x
  3. Step 3: Cross multiply
    3,209x = 4,863 × 4,863
  4. Step 4: Simplify right side
    3,209x = 23,648,769
  5. Step 5: Solve for x
    x = 23,648,769/3,209
  6. Step 6: Final answer
    x = 7,369.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.