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Finding the Third Proportional to 39,042 and 84,003

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Solution

The third proportional to 39,042 and 84,003 is: 180,741.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,042 : 84,003 = 84,003 : x
  2. Step 2: Convert to fraction form
    39,042/84,003 = 84,003/x
  3. Step 3: Cross multiply
    39,042x = 84,003 × 84,003
  4. Step 4: Simplify right side
    39,042x = 7,056,504,009
  5. Step 5: Solve for x
    x = 7,056,504,009/39,042
  6. Step 6: Final answer
    x = 180,741.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.