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Finding the Third Proportional to 36,889 and 80,033

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Solution

The third proportional to 36,889 and 80,033 is: 173,636.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,889 : 80,033 = 80,033 : x
  2. Step 2: Convert to fraction form
    36,889/80,033 = 80,033/x
  3. Step 3: Cross multiply
    36,889x = 80,033 × 80,033
  4. Step 4: Simplify right side
    36,889x = 6,405,281,089
  5. Step 5: Solve for x
    x = 6,405,281,089/36,889
  6. Step 6: Final answer
    x = 173,636.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.