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Finding the Third Proportional to 1,362.94 and 2,028.94

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Solution

The third proportional to 1,362.94 and 2,028.94 is: 3,020.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.94 : 2,028.94 = 2,028.94 : x
  2. Step 2: Convert to fraction form
    1,362.94/2,028.94 = 2,028.94/x
  3. Step 3: Cross multiply
    1,362.94x = 2,028.94 × 2,028.94
  4. Step 4: Simplify right side
    1,362.94x = 4,116,587.38
  5. Step 5: Solve for x
    x = 4,116,587.38/1,362.94
  6. Step 6: Final answer
    x = 3,020.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.