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Finding the Third Proportional to 13,620.50 and 32,204

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Solution

The third proportional to 13,620.50 and 32,204 is: 76,142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,620.50 : 32,204 = 32,204 : x
  2. Step 2: Convert to fraction form
    13,620.50/32,204 = 32,204/x
  3. Step 3: Cross multiply
    13,620.50x = 32,204 × 32,204
  4. Step 4: Simplify right side
    13,620.50x = 1,037,097,616
  5. Step 5: Solve for x
    x = 1,037,097,616/13,620.50
  6. Step 6: Final answer
    x = 76,142.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.