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Finding the Third Proportional to 19,009.69 and 30,440.81

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Solution

The third proportional to 19,009.69 and 30,440.81 is: 48,745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,009.69 : 30,440.81 = 30,440.81 : x
  2. Step 2: Convert to fraction form
    19,009.69/30,440.81 = 30,440.81/x
  3. Step 3: Cross multiply
    19,009.69x = 30,440.81 × 30,440.81
  4. Step 4: Simplify right side
    19,009.69x = 926,643,065.66
  5. Step 5: Solve for x
    x = 926,643,065.66/19,009.69
  6. Step 6: Final answer
    x = 48,745.83

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.