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Finding the Third Proportional to 20,007 and 28,443

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Solution

The third proportional to 20,007 and 28,443 is: 40,436.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,007 : 28,443 = 28,443 : x
  2. Step 2: Convert to fraction form
    20,007/28,443 = 28,443/x
  3. Step 3: Cross multiply
    20,007x = 28,443 × 28,443
  4. Step 4: Simplify right side
    20,007x = 809,004,249
  5. Step 5: Solve for x
    x = 809,004,249/20,007
  6. Step 6: Final answer
    x = 40,436.06

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.