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Finding the Third Proportional to 2,067.40 and 4,309.93

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Solution

The third proportional to 2,067.40 and 4,309.93 is: 8,984.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.40 : 4,309.93 = 4,309.93 : x
  2. Step 2: Convert to fraction form
    2,067.40/4,309.93 = 4,309.93/x
  3. Step 3: Cross multiply
    2,067.40x = 4,309.93 × 4,309.93
  4. Step 4: Simplify right side
    2,067.40x = 18,575,477.08
  5. Step 5: Solve for x
    x = 18,575,477.08/2,067.40
  6. Step 6: Final answer
    x = 8,984.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.