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Finding the Third Proportional to 30,183.19 and 65,555.44

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Solution

The third proportional to 30,183.19 and 65,555.44 is: 142,381.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,183.19 : 65,555.44 = 65,555.44 : x
  2. Step 2: Convert to fraction form
    30,183.19/65,555.44 = 65,555.44/x
  3. Step 3: Cross multiply
    30,183.19x = 65,555.44 × 65,555.44
  4. Step 4: Simplify right side
    30,183.19x = 4,297,515,385.82
  5. Step 5: Solve for x
    x = 4,297,515,385.82/30,183.19
  6. Step 6: Final answer
    x = 142,381.10

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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.