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Finding the Third Proportional to 8,028 and 12,024

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Solution

The third proportional to 8,028 and 12,024 is: 18,009.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,028 : 12,024 = 12,024 : x
  2. Step 2: Convert to fraction form
    8,028/12,024 = 12,024/x
  3. Step 3: Cross multiply
    8,028x = 12,024 × 12,024
  4. Step 4: Simplify right side
    8,028x = 144,576,576
  5. Step 5: Solve for x
    x = 144,576,576/8,028
  6. Step 6: Final answer
    x = 18,009.04

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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.