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Finding the Third Proportional to 38,896 and 83,122

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Solution

The third proportional to 38,896 and 83,122 is: 177,634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,896 : 83,122 = 83,122 : x
  2. Step 2: Convert to fraction form
    38,896/83,122 = 83,122/x
  3. Step 3: Cross multiply
    38,896x = 83,122 × 83,122
  4. Step 4: Simplify right side
    38,896x = 6,909,266,884
  5. Step 5: Solve for x
    x = 6,909,266,884/38,896
  6. Step 6: Final answer
    x = 177,634.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.