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Finding the Third Proportional to 19,730.81 and 30,183.47

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Solution

The third proportional to 19,730.81 and 30,183.47 is: 46,173.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,730.81 : 30,183.47 = 30,183.47 : x
  2. Step 2: Convert to fraction form
    19,730.81/30,183.47 = 30,183.47/x
  3. Step 3: Cross multiply
    19,730.81x = 30,183.47 × 30,183.47
  4. Step 4: Simplify right side
    19,730.81x = 911,041,785.78
  5. Step 5: Solve for x
    x = 911,041,785.78/19,730.81
  6. Step 6: Final answer
    x = 46,173.56

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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.