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Finding the Third Proportional to 2,663.44 and 4,059.84

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Solution

The third proportional to 2,663.44 and 4,059.84 is: 6,188.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.44 : 4,059.84 = 4,059.84 : x
  2. Step 2: Convert to fraction form
    2,663.44/4,059.84 = 4,059.84/x
  3. Step 3: Cross multiply
    2,663.44x = 4,059.84 × 4,059.84
  4. Step 4: Simplify right side
    2,663.44x = 16,482,331.27
  5. Step 5: Solve for x
    x = 16,482,331.27/2,663.44
  6. Step 6: Final answer
    x = 6,188.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.