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Finding the Third Proportional to 20,538 and 32,283

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Solution

The third proportional to 20,538 and 32,283 is: 50,744.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,538 : 32,283 = 32,283 : x
  2. Step 2: Convert to fraction form
    20,538/32,283 = 32,283/x
  3. Step 3: Cross multiply
    20,538x = 32,283 × 32,283
  4. Step 4: Simplify right side
    20,538x = 1,042,192,089
  5. Step 5: Solve for x
    x = 1,042,192,089/20,538
  6. Step 6: Final answer
    x = 50,744.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.