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

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Solution

The third proportional to 3,410 and 3,896 is: 4,451.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410 : 3,896 = 3,896 : x
  2. Step 2: Convert to fraction form
    3,410/3,896 = 3,896/x
  3. Step 3: Cross multiply
    3,410x = 3,896 × 3,896
  4. Step 4: Simplify right side
    3,410x = 15,178,816
  5. Step 5: Solve for x
    x = 15,178,816/3,410
  6. Step 6: Final answer
    x = 4,451.27

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.