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Finding the Third Proportional to 12,200 and 18,632

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Solution

The third proportional to 12,200 and 18,632 is: 28,455.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200 : 18,632 = 18,632 : x
  2. Step 2: Convert to fraction form
    12,200/18,632 = 18,632/x
  3. Step 3: Cross multiply
    12,200x = 18,632 × 18,632
  4. Step 4: Simplify right side
    12,200x = 347,151,424
  5. Step 5: Solve for x
    x = 347,151,424/12,200
  6. Step 6: Final answer
    x = 28,455.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.