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Finding the Third Proportional to 20,523 and 43,098

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Solution

The third proportional to 20,523 and 43,098 is: 90,505.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,523 : 43,098 = 43,098 : x
  2. Step 2: Convert to fraction form
    20,523/43,098 = 43,098/x
  3. Step 3: Cross multiply
    20,523x = 43,098 × 43,098
  4. Step 4: Simplify right side
    20,523x = 1,857,437,604
  5. Step 5: Solve for x
    x = 1,857,437,604/20,523
  6. Step 6: Final answer
    x = 90,505.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.