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Finding the Third Proportional to 6,438.94 and 13,581.19

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Solution

The third proportional to 6,438.94 and 13,581.19 is: 28,645.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.94 : 13,581.19 = 13,581.19 : x
  2. Step 2: Convert to fraction form
    6,438.94/13,581.19 = 13,581.19/x
  3. Step 3: Cross multiply
    6,438.94x = 13,581.19 × 13,581.19
  4. Step 4: Simplify right side
    6,438.94x = 184,448,653.91
  5. Step 5: Solve for x
    x = 184,448,653.91/6,438.94
  6. Step 6: Final answer
    x = 28,645.82

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.