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Finding the Third Proportional to 1,940.63 and 4,068.56

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Solution

The third proportional to 1,940.63 and 4,068.56 is: 8,529.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.63 : 4,068.56 = 4,068.56 : x
  2. Step 2: Convert to fraction form
    1,940.63/4,068.56 = 4,068.56/x
  3. Step 3: Cross multiply
    1,940.63x = 4,068.56 × 4,068.56
  4. Step 4: Simplify right side
    1,940.63x = 16,553,200.82
  5. Step 5: Solve for x
    x = 16,553,200.82/1,940.63
  6. Step 6: Final answer
    x = 8,529.83

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.