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Finding the Third Proportional to 5,204.25 and 6,832.69

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Solution

The third proportional to 5,204.25 and 6,832.69 is: 8,970.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.25 : 6,832.69 = 6,832.69 : x
  2. Step 2: Convert to fraction form
    5,204.25/6,832.69 = 6,832.69/x
  3. Step 3: Cross multiply
    5,204.25x = 6,832.69 × 6,832.69
  4. Step 4: Simplify right side
    5,204.25x = 46,685,618.47
  5. Step 5: Solve for x
    x = 46,685,618.47/5,204.25
  6. Step 6: Final answer
    x = 8,970.67

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.