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Finding the Third Proportional to 9,668 and 20,520.50

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Solution

The third proportional to 9,668 and 20,520.50 is: 43,555.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668 : 20,520.50 = 20,520.50 : x
  2. Step 2: Convert to fraction form
    9,668/20,520.50 = 20,520.50/x
  3. Step 3: Cross multiply
    9,668x = 20,520.50 × 20,520.50
  4. Step 4: Simplify right side
    9,668x = 421,090,920.25
  5. Step 5: Solve for x
    x = 421,090,920.25/9,668
  6. Step 6: Final answer
    x = 43,555.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.