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Finding the Third Proportional to 20,031 and 43,005

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Solution

The third proportional to 20,031 and 43,005 is: 92,328.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,031 : 43,005 = 43,005 : x
  2. Step 2: Convert to fraction form
    20,031/43,005 = 43,005/x
  3. Step 3: Cross multiply
    20,031x = 43,005 × 43,005
  4. Step 4: Simplify right side
    20,031x = 1,849,430,025
  5. Step 5: Solve for x
    x = 1,849,430,025/20,031
  6. Step 6: Final answer
    x = 92,328.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.