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Finding the Third Proportional to 16,180.88 and 36,128.25

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Solution

The third proportional to 16,180.88 and 36,128.25 is: 80,666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,180.88 : 36,128.25 = 36,128.25 : x
  2. Step 2: Convert to fraction form
    16,180.88/36,128.25 = 36,128.25/x
  3. Step 3: Cross multiply
    16,180.88x = 36,128.25 × 36,128.25
  4. Step 4: Simplify right side
    16,180.88x = 1,305,250,448.06
  5. Step 5: Solve for x
    x = 1,305,250,448.06/16,180.88
  6. Step 6: Final answer
    x = 80,666.25

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.