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Finding the Third Proportional to 16,201.69 and 33,527.25

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Solution

The third proportional to 16,201.69 and 33,527.25 is: 69,380.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.69 : 33,527.25 = 33,527.25 : x
  2. Step 2: Convert to fraction form
    16,201.69/33,527.25 = 33,527.25/x
  3. Step 3: Cross multiply
    16,201.69x = 33,527.25 × 33,527.25
  4. Step 4: Simplify right side
    16,201.69x = 1,124,076,492.56
  5. Step 5: Solve for x
    x = 1,124,076,492.56/16,201.69
  6. Step 6: Final answer
    x = 69,380.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.