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Finding the Third Proportional to 19,200 and 30,048

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Solution

The third proportional to 19,200 and 30,048 is: 47,025.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,200 : 30,048 = 30,048 : x
  2. Step 2: Convert to fraction form
    19,200/30,048 = 30,048/x
  3. Step 3: Cross multiply
    19,200x = 30,048 × 30,048
  4. Step 4: Simplify right side
    19,200x = 902,882,304
  5. Step 5: Solve for x
    x = 902,882,304/19,200
  6. Step 6: Final answer
    x = 47,025.12

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