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Finding the Third Proportional to 19,982.25 and 30,024.75

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Solution

The third proportional to 19,982.25 and 30,024.75 is: 45,114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,982.25 : 30,024.75 = 30,024.75 : x
  2. Step 2: Convert to fraction form
    19,982.25/30,024.75 = 30,024.75/x
  3. Step 3: Cross multiply
    19,982.25x = 30,024.75 × 30,024.75
  4. Step 4: Simplify right side
    19,982.25x = 901,485,612.56
  5. Step 5: Solve for x
    x = 901,485,612.56/19,982.25
  6. Step 6: Final answer
    x = 45,114.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.