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Finding the Third Proportional to 3,410 and 5,121

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Solution

The third proportional to 3,410 and 5,121 is: 7,690.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410 : 5,121 = 5,121 : x
  2. Step 2: Convert to fraction form
    3,410/5,121 = 5,121/x
  3. Step 3: Cross multiply
    3,410x = 5,121 × 5,121
  4. Step 4: Simplify right side
    3,410x = 26,224,641
  5. Step 5: Solve for x
    x = 26,224,641/3,410
  6. Step 6: Final answer
    x = 7,690.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.