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Finding the Third Proportional to 3,829 and 5,047

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Solution

The third proportional to 3,829 and 5,047 is: 6,652.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829 : 5,047 = 5,047 : x
  2. Step 2: Convert to fraction form
    3,829/5,047 = 5,047/x
  3. Step 3: Cross multiply
    3,829x = 5,047 × 5,047
  4. Step 4: Simplify right side
    3,829x = 25,472,209
  5. Step 5: Solve for x
    x = 25,472,209/3,829
  6. Step 6: Final answer
    x = 6,652.44

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.