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Finding the Third Proportional to 39,733 and 84,205

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Solution

The third proportional to 39,733 and 84,205 is: 178,453.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,733 : 84,205 = 84,205 : x
  2. Step 2: Convert to fraction form
    39,733/84,205 = 84,205/x
  3. Step 3: Cross multiply
    39,733x = 84,205 × 84,205
  4. Step 4: Simplify right side
    39,733x = 7,090,482,025
  5. Step 5: Solve for x
    x = 7,090,482,025/39,733
  6. Step 6: Final answer
    x = 178,453.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.