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Finding the Third Proportional to 6,830 and 10,201

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Solution

The third proportional to 6,830 and 10,201 is: 15,235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830 : 10,201 = 10,201 : x
  2. Step 2: Convert to fraction form
    6,830/10,201 = 10,201/x
  3. Step 3: Cross multiply
    6,830x = 10,201 × 10,201
  4. Step 4: Simplify right side
    6,830x = 104,060,401
  5. Step 5: Solve for x
    x = 104,060,401/6,830
  6. Step 6: Final answer
    x = 15,235.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.