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Finding the Third Proportional to 3,068.44 and 4,719.09

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Solution

The third proportional to 3,068.44 and 4,719.09 is: 7,257.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.44 : 4,719.09 = 4,719.09 : x
  2. Step 2: Convert to fraction form
    3,068.44/4,719.09 = 4,719.09/x
  3. Step 3: Cross multiply
    3,068.44x = 4,719.09 × 4,719.09
  4. Step 4: Simplify right side
    3,068.44x = 22,269,845.82
  5. Step 5: Solve for x
    x = 22,269,845.82/3,068.44
  6. Step 6: Final answer
    x = 7,257.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.