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Finding the Third Proportional to 30,183.73 and 65,557.32

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Solution

The third proportional to 30,183.73 and 65,557.32 is: 142,386.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,183.73 : 65,557.32 = 65,557.32 : x
  2. Step 2: Convert to fraction form
    30,183.73/65,557.32 = 65,557.32/x
  3. Step 3: Cross multiply
    30,183.73x = 65,557.32 × 65,557.32
  4. Step 4: Simplify right side
    30,183.73x = 4,297,761,990.47
  5. Step 5: Solve for x
    x = 4,297,761,990.47/30,183.73
  6. Step 6: Final answer
    x = 142,386.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.