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Finding the Third Proportional to 2,784 and 5,950

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Solution

The third proportional to 2,784 and 5,950 is: 12,716.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784 : 5,950 = 5,950 : x
  2. Step 2: Convert to fraction form
    2,784/5,950 = 5,950/x
  3. Step 3: Cross multiply
    2,784x = 5,950 × 5,950
  4. Step 4: Simplify right side
    2,784x = 35,402,500
  5. Step 5: Solve for x
    x = 35,402,500/2,784
  6. Step 6: Final answer
    x = 12,716.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.