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Finding the Third Proportional to 1,485.75 and 2,268.38

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Solution

The third proportional to 1,485.75 and 2,268.38 is: 3,463.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.75 : 2,268.38 = 2,268.38 : x
  2. Step 2: Convert to fraction form
    1,485.75/2,268.38 = 2,268.38/x
  3. Step 3: Cross multiply
    1,485.75x = 2,268.38 × 2,268.38
  4. Step 4: Simplify right side
    1,485.75x = 5,145,525.14
  5. Step 5: Solve for x
    x = 5,145,525.14/1,485.75
  6. Step 6: Final answer
    x = 3,463.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.