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Finding the Third Proportional to 3,346.69 and 6,956.63

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Solution

The third proportional to 3,346.69 and 6,956.63 is: 14,460.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.69 : 6,956.63 = 6,956.63 : x
  2. Step 2: Convert to fraction form
    3,346.69/6,956.63 = 6,956.63/x
  3. Step 3: Cross multiply
    3,346.69x = 6,956.63 × 6,956.63
  4. Step 4: Simplify right side
    3,346.69x = 48,394,631.39
  5. Step 5: Solve for x
    x = 48,394,631.39/3,346.69
  6. Step 6: Final answer
    x = 14,460.46

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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.