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Finding the Third Proportional to 6,009 and 8,989

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Solution

The third proportional to 6,009 and 8,989 is: 13,446.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009 : 8,989 = 8,989 : x
  2. Step 2: Convert to fraction form
    6,009/8,989 = 8,989/x
  3. Step 3: Cross multiply
    6,009x = 8,989 × 8,989
  4. Step 4: Simplify right side
    6,009x = 80,802,121
  5. Step 5: Solve for x
    x = 80,802,121/6,009
  6. Step 6: Final answer
    x = 13,446.85

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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.