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Finding the Third Proportional to 12,024 and 18,864

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Solution

The third proportional to 12,024 and 18,864 is: 29,595.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024 : 18,864 = 18,864 : x
  2. Step 2: Convert to fraction form
    12,024/18,864 = 18,864/x
  3. Step 3: Cross multiply
    12,024x = 18,864 × 18,864
  4. Step 4: Simplify right side
    12,024x = 355,850,496
  5. Step 5: Solve for x
    x = 355,850,496/12,024
  6. Step 6: Final answer
    x = 29,595.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.