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Finding the Third Proportional to 38,912 and 86,896

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Solution

The third proportional to 38,912 and 86,896 is: 194,051.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,912 : 86,896 = 86,896 : x
  2. Step 2: Convert to fraction form
    38,912/86,896 = 86,896/x
  3. Step 3: Cross multiply
    38,912x = 86,896 × 86,896
  4. Step 4: Simplify right side
    38,912x = 7,550,914,816
  5. Step 5: Solve for x
    x = 7,550,914,816/38,912
  6. Step 6: Final answer
    x = 194,051.06

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.