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Finding the Third Proportional to 2,195.54 and 4,459.43

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Solution

The third proportional to 2,195.54 and 4,459.43 is: 9,057.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.54 : 4,459.43 = 4,459.43 : x
  2. Step 2: Convert to fraction form
    2,195.54/4,459.43 = 4,459.43/x
  3. Step 3: Cross multiply
    2,195.54x = 4,459.43 × 4,459.43
  4. Step 4: Simplify right side
    2,195.54x = 19,886,513.14
  5. Step 5: Solve for x
    x = 19,886,513.14/2,195.54
  6. Step 6: Final answer
    x = 9,057.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.