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Finding the Third Proportional to 3,500 and 7,747

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Solution

The third proportional to 3,500 and 7,747 is: 17,147.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500 : 7,747 = 7,747 : x
  2. Step 2: Convert to fraction form
    3,500/7,747 = 7,747/x
  3. Step 3: Cross multiply
    3,500x = 7,747 × 7,747
  4. Step 4: Simplify right side
    3,500x = 60,016,009
  5. Step 5: Solve for x
    x = 60,016,009/3,500
  6. Step 6: Final answer
    x = 17,147.43

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.