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Finding the Third Proportional to 961.45 and 2,102.48

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Solution

The third proportional to 961.45 and 2,102.48 is: 4,597.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.45 : 2,102.48 = 2,102.48 : x
  2. Step 2: Convert to fraction form
    961.45/2,102.48 = 2,102.48/x
  3. Step 3: Cross multiply
    961.45x = 2,102.48 × 2,102.48
  4. Step 4: Simplify right side
    961.45x = 4,420,440.55
  5. Step 5: Solve for x
    x = 4,420,440.55/961.45
  6. Step 6: Final answer
    x = 4,597.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.