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Finding the Third Proportional to 3,410 and 5,006

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Solution

The third proportional to 3,410 and 5,006 is: 7,348.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410 : 5,006 = 5,006 : x
  2. Step 2: Convert to fraction form
    3,410/5,006 = 5,006/x
  3. Step 3: Cross multiply
    3,410x = 5,006 × 5,006
  4. Step 4: Simplify right side
    3,410x = 25,060,036
  5. Step 5: Solve for x
    x = 25,060,036/3,410
  6. Step 6: Final answer
    x = 7,348.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.