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Finding the Third Proportional to 20,586 and 32,337

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Solution

The third proportional to 20,586 and 32,337 is: 50,795.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,586 : 32,337 = 32,337 : x
  2. Step 2: Convert to fraction form
    20,586/32,337 = 32,337/x
  3. Step 3: Cross multiply
    20,586x = 32,337 × 32,337
  4. Step 4: Simplify right side
    20,586x = 1,045,681,569
  5. Step 5: Solve for x
    x = 1,045,681,569/20,586
  6. Step 6: Final answer
    x = 50,795.76

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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.