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Finding the Third Proportional to 3,400 and 4,906

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Solution

The third proportional to 3,400 and 4,906 is: 7,079.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400 : 4,906 = 4,906 : x
  2. Step 2: Convert to fraction form
    3,400/4,906 = 4,906/x
  3. Step 3: Cross multiply
    3,400x = 4,906 × 4,906
  4. Step 4: Simplify right side
    3,400x = 24,068,836
  5. Step 5: Solve for x
    x = 24,068,836/3,400
  6. Step 6: Final answer
    x = 7,079.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.