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Finding the Third Proportional to 2,684.39 and 6,346.48

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Solution

The third proportional to 2,684.39 and 6,346.48 is: 15,004.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.39 : 6,346.48 = 6,346.48 : x
  2. Step 2: Convert to fraction form
    2,684.39/6,346.48 = 6,346.48/x
  3. Step 3: Cross multiply
    2,684.39x = 6,346.48 × 6,346.48
  4. Step 4: Simplify right side
    2,684.39x = 40,277,764.76
  5. Step 5: Solve for x
    x = 40,277,764.76/2,684.39
  6. Step 6: Final answer
    x = 15,004.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.