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Finding the Third Proportional to 20,836 and 32,267

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Solution

The third proportional to 20,836 and 32,267 is: 49,969.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,836 : 32,267 = 32,267 : x
  2. Step 2: Convert to fraction form
    20,836/32,267 = 32,267/x
  3. Step 3: Cross multiply
    20,836x = 32,267 × 32,267
  4. Step 4: Simplify right side
    20,836x = 1,041,159,289
  5. Step 5: Solve for x
    x = 1,041,159,289/20,836
  6. Step 6: Final answer
    x = 49,969.25

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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.