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Finding the Third Proportional to 19,051 and 27,084

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Solution

The third proportional to 19,051 and 27,084 is: 38,504.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,051 : 27,084 = 27,084 : x
  2. Step 2: Convert to fraction form
    19,051/27,084 = 27,084/x
  3. Step 3: Cross multiply
    19,051x = 27,084 × 27,084
  4. Step 4: Simplify right side
    19,051x = 733,543,056
  5. Step 5: Solve for x
    x = 733,543,056/19,051
  6. Step 6: Final answer
    x = 38,504.18

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.