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Finding the Third Proportional to 19,804.50 and 31,529.25

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Solution

The third proportional to 19,804.50 and 31,529.25 is: 50,195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,804.50 : 31,529.25 = 31,529.25 : x
  2. Step 2: Convert to fraction form
    19,804.50/31,529.25 = 31,529.25/x
  3. Step 3: Cross multiply
    19,804.50x = 31,529.25 × 31,529.25
  4. Step 4: Simplify right side
    19,804.50x = 994,093,605.56
  5. Step 5: Solve for x
    x = 994,093,605.56/19,804.50
  6. Step 6: Final answer
    x = 50,195.34

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.