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Finding the Third Proportional to 6,009 and 8,037

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Solution

The third proportional to 6,009 and 8,037 is: 10,749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009 : 8,037 = 8,037 : x
  2. Step 2: Convert to fraction form
    6,009/8,037 = 8,037/x
  3. Step 3: Cross multiply
    6,009x = 8,037 × 8,037
  4. Step 4: Simplify right side
    6,009x = 64,593,369
  5. Step 5: Solve for x
    x = 64,593,369/6,009
  6. Step 6: Final answer
    x = 10,749.44

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.