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Finding the Third Proportional to 36,675.75 and 80,097

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Solution

The third proportional to 36,675.75 and 80,097 is: 174,925.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,675.75 : 80,097 = 80,097 : x
  2. Step 2: Convert to fraction form
    36,675.75/80,097 = 80,097/x
  3. Step 3: Cross multiply
    36,675.75x = 80,097 × 80,097
  4. Step 4: Simplify right side
    36,675.75x = 6,415,529,409
  5. Step 5: Solve for x
    x = 6,415,529,409/36,675.75
  6. Step 6: Final answer
    x = 174,925.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.