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Finding the Third Proportional to 3,102.05 and 6,669.84

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Solution

The third proportional to 3,102.05 and 6,669.84 is: 14,341.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.05 : 6,669.84 = 6,669.84 : x
  2. Step 2: Convert to fraction form
    3,102.05/6,669.84 = 6,669.84/x
  3. Step 3: Cross multiply
    3,102.05x = 6,669.84 × 6,669.84
  4. Step 4: Simplify right side
    3,102.05x = 44,486,815.65
  5. Step 5: Solve for x
    x = 44,486,815.65/3,102.05
  6. Step 6: Final answer
    x = 14,341.12

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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.