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Finding the Third Proportional to 38,233 and 83,845

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Solution

The third proportional to 38,233 and 83,845 is: 183,872.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,233 : 83,845 = 83,845 : x
  2. Step 2: Convert to fraction form
    38,233/83,845 = 83,845/x
  3. Step 3: Cross multiply
    38,233x = 83,845 × 83,845
  4. Step 4: Simplify right side
    38,233x = 7,029,984,025
  5. Step 5: Solve for x
    x = 7,029,984,025/38,233
  6. Step 6: Final answer
    x = 183,872.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.