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Finding the Third Proportional to 36,918 and 76,014

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Solution

The third proportional to 36,918 and 76,014 is: 156,512.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,918 : 76,014 = 76,014 : x
  2. Step 2: Convert to fraction form
    36,918/76,014 = 76,014/x
  3. Step 3: Cross multiply
    36,918x = 76,014 × 76,014
  4. Step 4: Simplify right side
    36,918x = 5,778,128,196
  5. Step 5: Solve for x
    x = 5,778,128,196/36,918
  6. Step 6: Final answer
    x = 156,512.49

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.