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Finding the Third Proportional to 9,073 and 12,843

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Solution

The third proportional to 9,073 and 12,843 is: 18,179.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,073 : 12,843 = 12,843 : x
  2. Step 2: Convert to fraction form
    9,073/12,843 = 12,843/x
  3. Step 3: Cross multiply
    9,073x = 12,843 × 12,843
  4. Step 4: Simplify right side
    9,073x = 164,942,649
  5. Step 5: Solve for x
    x = 164,942,649/9,073
  6. Step 6: Final answer
    x = 18,179.51

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.