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Finding the Third Proportional to 3,206 and 6,984

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Solution

The third proportional to 3,206 and 6,984 is: 15,214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206 : 6,984 = 6,984 : x
  2. Step 2: Convert to fraction form
    3,206/6,984 = 6,984/x
  3. Step 3: Cross multiply
    3,206x = 6,984 × 6,984
  4. Step 4: Simplify right side
    3,206x = 48,776,256
  5. Step 5: Solve for x
    x = 48,776,256/3,206
  6. Step 6: Final answer
    x = 15,214.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.