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Finding the Third Proportional to 36,984 and 77,856

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Solution

The third proportional to 36,984 and 77,856 is: 163,896.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,984 : 77,856 = 77,856 : x
  2. Step 2: Convert to fraction form
    36,984/77,856 = 77,856/x
  3. Step 3: Cross multiply
    36,984x = 77,856 × 77,856
  4. Step 4: Simplify right side
    36,984x = 6,061,556,736
  5. Step 5: Solve for x
    x = 6,061,556,736/36,984
  6. Step 6: Final answer
    x = 163,896.73

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.