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Finding the Third Proportional to 3,054.94 and 4,580.44

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Solution

The third proportional to 3,054.94 and 4,580.44 is: 6,867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.94 : 4,580.44 = 4,580.44 : x
  2. Step 2: Convert to fraction form
    3,054.94/4,580.44 = 4,580.44/x
  3. Step 3: Cross multiply
    3,054.94x = 4,580.44 × 4,580.44
  4. Step 4: Simplify right side
    3,054.94x = 20,980,407.69
  5. Step 5: Solve for x
    x = 20,980,407.69/3,054.94
  6. Step 6: Final answer
    x = 6,867.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.