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Finding the Third Proportional to 19,174.50 and 30,084.75

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Solution

The third proportional to 19,174.50 and 30,084.75 is: 47,202.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,174.50 : 30,084.75 = 30,084.75 : x
  2. Step 2: Convert to fraction form
    19,174.50/30,084.75 = 30,084.75/x
  3. Step 3: Cross multiply
    19,174.50x = 30,084.75 × 30,084.75
  4. Step 4: Simplify right side
    19,174.50x = 905,092,182.56
  5. Step 5: Solve for x
    x = 905,092,182.56/19,174.50
  6. Step 6: Final answer
    x = 47,202.91

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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.