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Finding the Third Proportional to 2,975.06 and 6,479.44

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Solution

The third proportional to 2,975.06 and 6,479.44 is: 14,111.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.06 : 6,479.44 = 6,479.44 : x
  2. Step 2: Convert to fraction form
    2,975.06/6,479.44 = 6,479.44/x
  3. Step 3: Cross multiply
    2,975.06x = 6,479.44 × 6,479.44
  4. Step 4: Simplify right side
    2,975.06x = 41,983,110.32
  5. Step 5: Solve for x
    x = 41,983,110.32/2,975.06
  6. Step 6: Final answer
    x = 14,111.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.