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Finding the Third Proportional to 20,828 and 32,306

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Solution

The third proportional to 20,828 and 32,306 is: 50,109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,828 : 32,306 = 32,306 : x
  2. Step 2: Convert to fraction form
    20,828/32,306 = 32,306/x
  3. Step 3: Cross multiply
    20,828x = 32,306 × 32,306
  4. Step 4: Simplify right side
    20,828x = 1,043,677,636
  5. Step 5: Solve for x
    x = 1,043,677,636/20,828
  6. Step 6: Final answer
    x = 50,109.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.