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Finding the Third Proportional to 1,028.64 and 1,835.00

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Solution

The third proportional to 1,028.64 and 1,835.00 is: 3,273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.64 : 1,835.00 = 1,835.00 : x
  2. Step 2: Convert to fraction form
    1,028.64/1,835.00 = 1,835.00/x
  3. Step 3: Cross multiply
    1,028.64x = 1,835.00 × 1,835.00
  4. Step 4: Simplify right side
    1,028.64x = 3,367,217.83
  5. Step 5: Solve for x
    x = 3,367,217.83/1,028.64
  6. Step 6: Final answer
    x = 3,273.48

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.