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Finding the Third Proportional to 1,028.00 and 2,235.41

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Solution

The third proportional to 1,028.00 and 2,235.41 is: 4,860.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.00 : 2,235.41 = 2,235.41 : x
  2. Step 2: Convert to fraction form
    1,028.00/2,235.41 = 2,235.41/x
  3. Step 3: Cross multiply
    1,028.00x = 2,235.41 × 2,235.41
  4. Step 4: Simplify right side
    1,028.00x = 4,997,058.57
  5. Step 5: Solve for x
    x = 4,997,058.57/1,028.00
  6. Step 6: Final answer
    x = 4,860.93

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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.