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Finding the Third Proportional to 19,821 and 30,359.25

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Solution

The third proportional to 19,821 and 30,359.25 is: 46,500.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,821 : 30,359.25 = 30,359.25 : x
  2. Step 2: Convert to fraction form
    19,821/30,359.25 = 30,359.25/x
  3. Step 3: Cross multiply
    19,821x = 30,359.25 × 30,359.25
  4. Step 4: Simplify right side
    19,821x = 921,684,060.56
  5. Step 5: Solve for x
    x = 921,684,060.56/19,821
  6. Step 6: Final answer
    x = 46,500.38

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.