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Finding the Third Proportional to 2,730.38 and 3,999.94

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Solution

The third proportional to 2,730.38 and 3,999.94 is: 5,859.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.38 : 3,999.94 = 3,999.94 : x
  2. Step 2: Convert to fraction form
    2,730.38/3,999.94 = 3,999.94/x
  3. Step 3: Cross multiply
    2,730.38x = 3,999.94 × 3,999.94
  4. Step 4: Simplify right side
    2,730.38x = 15,999,500.00
  5. Step 5: Solve for x
    x = 15,999,500.00/2,730.38
  6. Step 6: Final answer
    x = 5,859.82

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.