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Finding the Third Proportional to 2,674.69 and 5,964.05

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Solution

The third proportional to 2,674.69 and 5,964.05 is: 13,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.69 : 5,964.05 = 5,964.05 : x
  2. Step 2: Convert to fraction form
    2,674.69/5,964.05 = 5,964.05/x
  3. Step 3: Cross multiply
    2,674.69x = 5,964.05 × 5,964.05
  4. Step 4: Simplify right side
    2,674.69x = 35,569,855.13
  5. Step 5: Solve for x
    x = 35,569,855.13/2,674.69
  6. Step 6: Final answer
    x = 13,298.70

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.