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Finding the Third Proportional to 38,398 and 60,105

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Solution

The third proportional to 38,398 and 60,105 is: 94,083.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,398 : 60,105 = 60,105 : x
  2. Step 2: Convert to fraction form
    38,398/60,105 = 60,105/x
  3. Step 3: Cross multiply
    38,398x = 60,105 × 60,105
  4. Step 4: Simplify right side
    38,398x = 3,612,611,025
  5. Step 5: Solve for x
    x = 3,612,611,025/38,398
  6. Step 6: Final answer
    x = 94,083.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.