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Finding the Third Proportional to 30,183.02 and 65,551.62

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Solution

The third proportional to 30,183.02 and 65,551.62 is: 142,365.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,183.02 : 65,551.62 = 65,551.62 : x
  2. Step 2: Convert to fraction form
    30,183.02/65,551.62 = 65,551.62/x
  3. Step 3: Cross multiply
    30,183.02x = 65,551.62 × 65,551.62
  4. Step 4: Simplify right side
    30,183.02x = 4,297,015,284.08
  5. Step 5: Solve for x
    x = 4,297,015,284.08/30,183.02
  6. Step 6: Final answer
    x = 142,365.32

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1.5x scale

Why These Related Problems?

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