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Finding the Third Proportional to 6,346.69 and 7,298.44

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Solution

The third proportional to 6,346.69 and 7,298.44 is: 8,392.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.69 : 7,298.44 = 7,298.44 : x
  2. Step 2: Convert to fraction form
    6,346.69/7,298.44 = 7,298.44/x
  3. Step 3: Cross multiply
    6,346.69x = 7,298.44 × 7,298.44
  4. Step 4: Simplify right side
    6,346.69x = 53,267,189.94
  5. Step 5: Solve for x
    x = 53,267,189.94/6,346.69
  6. Step 6: Final answer
    x = 8,392.91

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.