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Finding the Third Proportional to 1,023.19 and 1,828.69

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Solution

The third proportional to 1,023.19 and 1,828.69 is: 3,268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.19 : 1,828.69 = 1,828.69 : x
  2. Step 2: Convert to fraction form
    1,023.19/1,828.69 = 1,828.69/x
  3. Step 3: Cross multiply
    1,023.19x = 1,828.69 × 1,828.69
  4. Step 4: Simplify right side
    1,023.19x = 3,344,097.97
  5. Step 5: Solve for x
    x = 3,344,097.97/1,023.19
  6. Step 6: Final answer
    x = 3,268.31

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.