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Finding the Third Proportional to 1,450.42 and 2,977.69

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Solution

The third proportional to 1,450.42 and 2,977.69 is: 6,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.42 : 2,977.69 = 2,977.69 : x
  2. Step 2: Convert to fraction form
    1,450.42/2,977.69 = 2,977.69/x
  3. Step 3: Cross multiply
    1,450.42x = 2,977.69 × 2,977.69
  4. Step 4: Simplify right side
    1,450.42x = 8,866,622.85
  5. Step 5: Solve for x
    x = 8,866,622.85/1,450.42
  6. Step 6: Final answer
    x = 6,113.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.