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Finding the Third Proportional to 29,206 and 41,616

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Solution

The third proportional to 29,206 and 41,616 is: 59,299.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,206 : 41,616 = 41,616 : x
  2. Step 2: Convert to fraction form
    29,206/41,616 = 41,616/x
  3. Step 3: Cross multiply
    29,206x = 41,616 × 41,616
  4. Step 4: Simplify right side
    29,206x = 1,731,891,456
  5. Step 5: Solve for x
    x = 1,731,891,456/29,206
  6. Step 6: Final answer
    x = 59,299.17

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.