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Finding the Third Proportional to 955.97 and 2,073.09

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Solution

The third proportional to 955.97 and 2,073.09 is: 4,495.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.97 : 2,073.09 = 2,073.09 : x
  2. Step 2: Convert to fraction form
    955.97/2,073.09 = 2,073.09/x
  3. Step 3: Cross multiply
    955.97x = 2,073.09 × 2,073.09
  4. Step 4: Simplify right side
    955.97x = 4,297,717.70
  5. Step 5: Solve for x
    x = 4,297,717.70/955.97
  6. Step 6: Final answer
    x = 4,495.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.