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Finding the Third Proportional to 9,144 and 18,832

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Solution

The third proportional to 9,144 and 18,832 is: 38,784.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144 : 18,832 = 18,832 : x
  2. Step 2: Convert to fraction form
    9,144/18,832 = 18,832/x
  3. Step 3: Cross multiply
    9,144x = 18,832 × 18,832
  4. Step 4: Simplify right side
    9,144x = 354,644,224
  5. Step 5: Solve for x
    x = 354,644,224/9,144
  6. Step 6: Final answer
    x = 38,784.36

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.