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Finding the Third Proportional to 2,138.06 and 4,446.14

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Solution

The third proportional to 2,138.06 and 4,446.14 is: 9,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.06 : 4,446.14 = 4,446.14 : x
  2. Step 2: Convert to fraction form
    2,138.06/4,446.14 = 4,446.14/x
  3. Step 3: Cross multiply
    2,138.06x = 4,446.14 × 4,446.14
  4. Step 4: Simplify right side
    2,138.06x = 19,768,166.46
  5. Step 5: Solve for x
    x = 19,768,166.46/2,138.06
  6. Step 6: Final answer
    x = 9,245.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.