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Finding the Third Proportional to 3,014.72 and 4,800.94

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Solution

The third proportional to 3,014.72 and 4,800.94 is: 7,645.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.72 : 4,800.94 = 4,800.94 : x
  2. Step 2: Convert to fraction form
    3,014.72/4,800.94 = 4,800.94/x
  3. Step 3: Cross multiply
    3,014.72x = 4,800.94 × 4,800.94
  4. Step 4: Simplify right side
    3,014.72x = 23,049,000.88
  5. Step 5: Solve for x
    x = 23,049,000.88/3,014.72
  6. Step 6: Final answer
    x = 7,645.49

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.