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Finding the Third Proportional to 36,033 and 84,187

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Solution

The third proportional to 36,033 and 84,187 is: 196,693.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,033 : 84,187 = 84,187 : x
  2. Step 2: Convert to fraction form
    36,033/84,187 = 84,187/x
  3. Step 3: Cross multiply
    36,033x = 84,187 × 84,187
  4. Step 4: Simplify right side
    36,033x = 7,087,450,969
  5. Step 5: Solve for x
    x = 7,087,450,969/36,033
  6. Step 6: Final answer
    x = 196,693.34

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.