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Finding the Third Proportional to 20,872.50 and 43,469

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Solution

The third proportional to 20,872.50 and 43,469 is: 90,528.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872.50 : 43,469 = 43,469 : x
  2. Step 2: Convert to fraction form
    20,872.50/43,469 = 43,469/x
  3. Step 3: Cross multiply
    20,872.50x = 43,469 × 43,469
  4. Step 4: Simplify right side
    20,872.50x = 1,889,553,961
  5. Step 5: Solve for x
    x = 1,889,553,961/20,872.50
  6. Step 6: Final answer
    x = 90,528.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.