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Finding the Third Proportional to 18,144 and 38,784

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Solution

The third proportional to 18,144 and 38,784 is: 82,903.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,144 : 38,784 = 38,784 : x
  2. Step 2: Convert to fraction form
    18,144/38,784 = 38,784/x
  3. Step 3: Cross multiply
    18,144x = 38,784 × 38,784
  4. Step 4: Simplify right side
    18,144x = 1,504,198,656
  5. Step 5: Solve for x
    x = 1,504,198,656/18,144
  6. Step 6: Final answer
    x = 82,903.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.