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Finding the Third Proportional to 38,673 and 84,815

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Solution

The third proportional to 38,673 and 84,815 is: 186,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,673 : 84,815 = 84,815 : x
  2. Step 2: Convert to fraction form
    38,673/84,815 = 84,815/x
  3. Step 3: Cross multiply
    38,673x = 84,815 × 84,815
  4. Step 4: Simplify right side
    38,673x = 7,193,584,225
  5. Step 5: Solve for x
    x = 7,193,584,225/38,673
  6. Step 6: Final answer
    x = 186,010.50

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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.