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Finding the Third Proportional to 4,638.94 and 10,200.94

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Solution

The third proportional to 4,638.94 and 10,200.94 is: 22,431.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.94 : 10,200.94 = 10,200.94 : x
  2. Step 2: Convert to fraction form
    4,638.94/10,200.94 = 10,200.94/x
  3. Step 3: Cross multiply
    4,638.94x = 10,200.94 × 10,200.94
  4. Step 4: Simplify right side
    4,638.94x = 104,059,125.88
  5. Step 5: Solve for x
    x = 104,059,125.88/4,638.94
  6. Step 6: Final answer
    x = 22,431.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.