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Finding the Third Proportional to 38,673 and 84,819

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Solution

The third proportional to 38,673 and 84,819 is: 186,028.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,673 : 84,819 = 84,819 : x
  2. Step 2: Convert to fraction form
    38,673/84,819 = 84,819/x
  3. Step 3: Cross multiply
    38,673x = 84,819 × 84,819
  4. Step 4: Simplify right side
    38,673x = 7,194,262,761
  5. Step 5: Solve for x
    x = 7,194,262,761/38,673
  6. Step 6: Final answer
    x = 186,028.05

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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.