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Finding the Third Proportional to 38,235 and 89,961

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Solution

The third proportional to 38,235 and 89,961 is: 211,664.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,235 : 89,961 = 89,961 : x
  2. Step 2: Convert to fraction form
    38,235/89,961 = 89,961/x
  3. Step 3: Cross multiply
    38,235x = 89,961 × 89,961
  4. Step 4: Simplify right side
    38,235x = 8,092,981,521
  5. Step 5: Solve for x
    x = 8,092,981,521/38,235
  6. Step 6: Final answer
    x = 211,664.22

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.