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Finding the Third Proportional to 2,028.96 and 2,728.77

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Solution

The third proportional to 2,028.96 and 2,728.77 is: 3,669.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.96 : 2,728.77 = 2,728.77 : x
  2. Step 2: Convert to fraction form
    2,028.96/2,728.77 = 2,728.77/x
  3. Step 3: Cross multiply
    2,028.96x = 2,728.77 × 2,728.77
  4. Step 4: Simplify right side
    2,028.96x = 7,446,167.17
  5. Step 5: Solve for x
    x = 7,446,167.17/2,028.96
  6. Step 6: Final answer
    x = 3,669.95

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.