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Finding the Third Proportional to 3,896 and 8,410

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Solution

The third proportional to 3,896 and 8,410 is: 18,154.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896 : 8,410 = 8,410 : x
  2. Step 2: Convert to fraction form
    3,896/8,410 = 8,410/x
  3. Step 3: Cross multiply
    3,896x = 8,410 × 8,410
  4. Step 4: Simplify right side
    3,896x = 70,728,100
  5. Step 5: Solve for x
    x = 70,728,100/3,896
  6. Step 6: Final answer
    x = 18,154.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.