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Finding the Third Proportional to 36,951 and 81,284

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Solution

The third proportional to 36,951 and 81,284 is: 178,806.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,951 : 81,284 = 81,284 : x
  2. Step 2: Convert to fraction form
    36,951/81,284 = 81,284/x
  3. Step 3: Cross multiply
    36,951x = 81,284 × 81,284
  4. Step 4: Simplify right side
    36,951x = 6,607,088,656
  5. Step 5: Solve for x
    x = 6,607,088,656/36,951
  6. Step 6: Final answer
    x = 178,806.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.