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Finding the Third Proportional to 3,400 and 5,076

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Solution

The third proportional to 3,400 and 5,076 is: 7,578.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400 : 5,076 = 5,076 : x
  2. Step 2: Convert to fraction form
    3,400/5,076 = 5,076/x
  3. Step 3: Cross multiply
    3,400x = 5,076 × 5,076
  4. Step 4: Simplify right side
    3,400x = 25,765,776
  5. Step 5: Solve for x
    x = 25,765,776/3,400
  6. Step 6: Final answer
    x = 7,578.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.