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Finding the Third Proportional to 19,851.75 and 29,772.56

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Solution

The third proportional to 19,851.75 and 29,772.56 is: 44,651.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,851.75 : 29,772.56 = 29,772.56 : x
  2. Step 2: Convert to fraction form
    19,851.75/29,772.56 = 29,772.56/x
  3. Step 3: Cross multiply
    19,851.75x = 29,772.56 × 29,772.56
  4. Step 4: Simplify right side
    19,851.75x = 886,405,477.82
  5. Step 5: Solve for x
    x = 886,405,477.82/19,851.75
  6. Step 6: Final answer
    x = 44,651.25

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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.