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Finding the Third Proportional to 20,650 and 32,821

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Solution

The third proportional to 20,650 and 32,821 is: 52,165.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,650 : 32,821 = 32,821 : x
  2. Step 2: Convert to fraction form
    20,650/32,821 = 32,821/x
  3. Step 3: Cross multiply
    20,650x = 32,821 × 32,821
  4. Step 4: Simplify right side
    20,650x = 1,077,218,041
  5. Step 5: Solve for x
    x = 1,077,218,041/20,650
  6. Step 6: Final answer
    x = 52,165.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.