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Finding the Third Proportional to 5,731 and 10,201

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Solution

The third proportional to 5,731 and 10,201 is: 18,157.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731 : 10,201 = 10,201 : x
  2. Step 2: Convert to fraction form
    5,731/10,201 = 10,201/x
  3. Step 3: Cross multiply
    5,731x = 10,201 × 10,201
  4. Step 4: Simplify right side
    5,731x = 104,060,401
  5. Step 5: Solve for x
    x = 104,060,401/5,731
  6. Step 6: Final answer
    x = 18,157.46

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.