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Finding the Third Proportional to 1,072.14 and 1,608.21

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Solution

The third proportional to 1,072.14 and 1,608.21 is: 2,412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.14 : 1,608.21 = 1,608.21 : x
  2. Step 2: Convert to fraction form
    1,072.14/1,608.21 = 1,608.21/x
  3. Step 3: Cross multiply
    1,072.14x = 1,608.21 × 1,608.21
  4. Step 4: Simplify right side
    1,072.14x = 2,586,351.84
  5. Step 5: Solve for x
    x = 2,586,351.84/1,072.14
  6. Step 6: Final answer
    x = 2,412.32

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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.