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Finding the Third Proportional to 3,074.06 and 5,466.94

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Solution

The third proportional to 3,074.06 and 5,466.94 is: 9,722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.06 : 5,466.94 = 5,466.94 : x
  2. Step 2: Convert to fraction form
    3,074.06/5,466.94 = 5,466.94/x
  3. Step 3: Cross multiply
    3,074.06x = 5,466.94 × 5,466.94
  4. Step 4: Simplify right side
    3,074.06x = 29,887,405.63
  5. Step 5: Solve for x
    x = 29,887,405.63/3,074.06
  6. Step 6: Final answer
    x = 9,722.45

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.