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Finding the Third Proportional to 3,000.94 and 4,014.56

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Solution

The third proportional to 3,000.94 and 4,014.56 is: 5,370.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.94 : 4,014.56 = 4,014.56 : x
  2. Step 2: Convert to fraction form
    3,000.94/4,014.56 = 4,014.56/x
  3. Step 3: Cross multiply
    3,000.94x = 4,014.56 × 4,014.56
  4. Step 4: Simplify right side
    3,000.94x = 16,116,712.07
  5. Step 5: Solve for x
    x = 16,116,712.07/3,000.94
  6. Step 6: Final answer
    x = 5,370.56

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.