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Finding the Third Proportional to 19,743.75 and 30,933.56

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Solution

The third proportional to 19,743.75 and 30,933.56 is: 48,465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,743.75 : 30,933.56 = 30,933.56 : x
  2. Step 2: Convert to fraction form
    19,743.75/30,933.56 = 30,933.56/x
  3. Step 3: Cross multiply
    19,743.75x = 30,933.56 × 30,933.56
  4. Step 4: Simplify right side
    19,743.75x = 956,885,288.94
  5. Step 5: Solve for x
    x = 956,885,288.94/19,743.75
  6. Step 6: Final answer
    x = 48,465.23

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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.