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Finding the Third Proportional to 39,186 and 84,736

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Solution

The third proportional to 39,186 and 84,736 is: 183,233.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,186 : 84,736 = 84,736 : x
  2. Step 2: Convert to fraction form
    39,186/84,736 = 84,736/x
  3. Step 3: Cross multiply
    39,186x = 84,736 × 84,736
  4. Step 4: Simplify right side
    39,186x = 7,180,189,696
  5. Step 5: Solve for x
    x = 7,180,189,696/39,186
  6. Step 6: Final answer
    x = 183,233.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.