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Finding the Third Proportional to 3,905 and 8,257

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Solution

The third proportional to 3,905 and 8,257 is: 17,459.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905 : 8,257 = 8,257 : x
  2. Step 2: Convert to fraction form
    3,905/8,257 = 8,257/x
  3. Step 3: Cross multiply
    3,905x = 8,257 × 8,257
  4. Step 4: Simplify right side
    3,905x = 68,178,049
  5. Step 5: Solve for x
    x = 68,178,049/3,905
  6. Step 6: Final answer
    x = 17,459.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.