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Finding the Third Proportional to 19,179 and 30,091.50

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Solution

The third proportional to 19,179 and 30,091.50 is: 47,213.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,179 : 30,091.50 = 30,091.50 : x
  2. Step 2: Convert to fraction form
    19,179/30,091.50 = 30,091.50/x
  3. Step 3: Cross multiply
    19,179x = 30,091.50 × 30,091.50
  4. Step 4: Simplify right side
    19,179x = 905,498,372.25
  5. Step 5: Solve for x
    x = 905,498,372.25/19,179
  6. Step 6: Final answer
    x = 47,213.01

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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.