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Finding the Third Proportional to 4,139.07 and 8,896.43

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Solution

The third proportional to 4,139.07 and 8,896.43 is: 19,121.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.07 : 8,896.43 = 8,896.43 : x
  2. Step 2: Convert to fraction form
    4,139.07/8,896.43 = 8,896.43/x
  3. Step 3: Cross multiply
    4,139.07x = 8,896.43 × 8,896.43
  4. Step 4: Simplify right side
    4,139.07x = 79,146,539.38
  5. Step 5: Solve for x
    x = 79,146,539.38/4,139.07
  6. Step 6: Final answer
    x = 19,121.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.