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Finding the Third Proportional to 1,909.41 and 4,060.97

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Solution

The third proportional to 1,909.41 and 4,060.97 is: 8,636.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.41 : 4,060.97 = 4,060.97 : x
  2. Step 2: Convert to fraction form
    1,909.41/4,060.97 = 4,060.97/x
  3. Step 3: Cross multiply
    1,909.41x = 4,060.97 × 4,060.97
  4. Step 4: Simplify right side
    1,909.41x = 16,491,467.19
  5. Step 5: Solve for x
    x = 16,491,467.19/1,909.41
  6. Step 6: Final answer
    x = 8,636.96

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.