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Finding the Third Proportional to 1,818.09 and 3,914.53

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Solution

The third proportional to 1,818.09 and 3,914.53 is: 8,428.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.09 : 3,914.53 = 3,914.53 : x
  2. Step 2: Convert to fraction form
    1,818.09/3,914.53 = 3,914.53/x
  3. Step 3: Cross multiply
    1,818.09x = 3,914.53 × 3,914.53
  4. Step 4: Simplify right side
    1,818.09x = 15,323,554.91
  5. Step 5: Solve for x
    x = 15,323,554.91/1,818.09
  6. Step 6: Final answer
    x = 8,428.36

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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.