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Finding the Third Proportional to 2,028.80 and 4,365.14

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Solution

The third proportional to 2,028.80 and 4,365.14 is: 9,392.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.80 : 4,365.14 = 4,365.14 : x
  2. Step 2: Convert to fraction form
    2,028.80/4,365.14 = 4,365.14/x
  3. Step 3: Cross multiply
    2,028.80x = 4,365.14 × 4,365.14
  4. Step 4: Simplify right side
    2,028.80x = 19,054,452.68
  5. Step 5: Solve for x
    x = 19,054,452.68/2,028.80
  6. Step 6: Final answer
    x = 9,392.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.