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Finding the Third Proportional to 8,025 and 12,009

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Solution

The third proportional to 8,025 and 12,009 is: 17,970.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,025 : 12,009 = 12,009 : x
  2. Step 2: Convert to fraction form
    8,025/12,009 = 12,009/x
  3. Step 3: Cross multiply
    8,025x = 12,009 × 12,009
  4. Step 4: Simplify right side
    8,025x = 144,216,081
  5. Step 5: Solve for x
    x = 144,216,081/8,025
  6. Step 6: Final answer
    x = 17,970.85

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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.