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Finding the Third Proportional to 38,973 and 84,165

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Solution

The third proportional to 38,973 and 84,165 is: 181,760.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,973 : 84,165 = 84,165 : x
  2. Step 2: Convert to fraction form
    38,973/84,165 = 84,165/x
  3. Step 3: Cross multiply
    38,973x = 84,165 × 84,165
  4. Step 4: Simplify right side
    38,973x = 7,083,747,225
  5. Step 5: Solve for x
    x = 7,083,747,225/38,973
  6. Step 6: Final answer
    x = 181,760.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.