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Finding the Third Proportional to 5,405.06 and 6,906.52

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Solution

The third proportional to 5,405.06 and 6,906.52 is: 8,825.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.06 : 6,906.52 = 6,906.52 : x
  2. Step 2: Convert to fraction form
    5,405.06/6,906.52 = 6,906.52/x
  3. Step 3: Cross multiply
    5,405.06x = 6,906.52 × 6,906.52
  4. Step 4: Simplify right side
    5,405.06x = 47,699,958.08
  5. Step 5: Solve for x
    x = 47,699,958.08/5,405.06
  6. Step 6: Final answer
    x = 8,825.05

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.