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Finding the Third Proportional to 9,900 and 20,434.50

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Solution

The third proportional to 9,900 and 20,434.50 is: 42,178.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900 : 20,434.50 = 20,434.50 : x
  2. Step 2: Convert to fraction form
    9,900/20,434.50 = 20,434.50/x
  3. Step 3: Cross multiply
    9,900x = 20,434.50 × 20,434.50
  4. Step 4: Simplify right side
    9,900x = 417,568,790.25
  5. Step 5: Solve for x
    x = 417,568,790.25/9,900
  6. Step 6: Final answer
    x = 42,178.67

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.