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Finding the Third Proportional to 4,089.94 and 6,486.19

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Solution

The third proportional to 4,089.94 and 6,486.19 is: 10,286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.94 : 6,486.19 = 6,486.19 : x
  2. Step 2: Convert to fraction form
    4,089.94/6,486.19 = 6,486.19/x
  3. Step 3: Cross multiply
    4,089.94x = 6,486.19 × 6,486.19
  4. Step 4: Simplify right side
    4,089.94x = 42,070,628.29
  5. Step 5: Solve for x
    x = 42,070,628.29/4,089.94
  6. Step 6: Final answer
    x = 10,286.37

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.