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Finding the Third Proportional to 30,972 and 41,616

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Solution

The third proportional to 30,972 and 41,616 is: 55,917.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,972 : 41,616 = 41,616 : x
  2. Step 2: Convert to fraction form
    30,972/41,616 = 41,616/x
  3. Step 3: Cross multiply
    30,972x = 41,616 × 41,616
  4. Step 4: Simplify right side
    30,972x = 1,731,891,456
  5. Step 5: Solve for x
    x = 1,731,891,456/30,972
  6. Step 6: Final answer
    x = 55,917.97

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.