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Finding the Third Proportional to 18,096 and 37,344

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Solution

The third proportional to 18,096 and 37,344 is: 77,065.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,096 : 37,344 = 37,344 : x
  2. Step 2: Convert to fraction form
    18,096/37,344 = 37,344/x
  3. Step 3: Cross multiply
    18,096x = 37,344 × 37,344
  4. Step 4: Simplify right side
    18,096x = 1,394,574,336
  5. Step 5: Solve for x
    x = 1,394,574,336/18,096
  6. Step 6: Final answer
    x = 77,065.34

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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.