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Finding the Third Proportional to 19,218 and 30,084

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Solution

The third proportional to 19,218 and 30,084 is: 47,093.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,218 : 30,084 = 30,084 : x
  2. Step 2: Convert to fraction form
    19,218/30,084 = 30,084/x
  3. Step 3: Cross multiply
    19,218x = 30,084 × 30,084
  4. Step 4: Simplify right side
    19,218x = 905,047,056
  5. Step 5: Solve for x
    x = 905,047,056/19,218
  6. Step 6: Final answer
    x = 47,093.72

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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.