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Finding the Third Proportional to 6,446 and 10,213

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Solution

The third proportional to 6,446 and 10,213 is: 16,181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446 : 10,213 = 10,213 : x
  2. Step 2: Convert to fraction form
    6,446/10,213 = 10,213/x
  3. Step 3: Cross multiply
    6,446x = 10,213 × 10,213
  4. Step 4: Simplify right side
    6,446x = 104,305,369
  5. Step 5: Solve for x
    x = 104,305,369/6,446
  6. Step 6: Final answer
    x = 16,181.41

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.