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Finding the Third Proportional to 5,009 and 6,405

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Solution

The third proportional to 5,009 and 6,405 is: 8,190.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009 : 6,405 = 6,405 : x
  2. Step 2: Convert to fraction form
    5,009/6,405 = 6,405/x
  3. Step 3: Cross multiply
    5,009x = 6,405 × 6,405
  4. Step 4: Simplify right side
    5,009x = 41,024,025
  5. Step 5: Solve for x
    x = 41,024,025/5,009
  6. Step 6: Final answer
    x = 8,190.06

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.