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Finding the Third Proportional to 1,450.49 and 2,178.93

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Solution

The third proportional to 1,450.49 and 2,178.93 is: 3,273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.49 : 2,178.93 = 2,178.93 : x
  2. Step 2: Convert to fraction form
    1,450.49/2,178.93 = 2,178.93/x
  3. Step 3: Cross multiply
    1,450.49x = 2,178.93 × 2,178.93
  4. Step 4: Simplify right side
    1,450.49x = 4,747,743.09
  5. Step 5: Solve for x
    x = 4,747,743.09/1,450.49
  6. Step 6: Final answer
    x = 3,273.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.