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Finding the Third Proportional to 29,072 and 35,696

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Solution

The third proportional to 29,072 and 35,696 is: 43,829.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,072 : 35,696 = 35,696 : x
  2. Step 2: Convert to fraction form
    29,072/35,696 = 35,696/x
  3. Step 3: Cross multiply
    29,072x = 35,696 × 35,696
  4. Step 4: Simplify right side
    29,072x = 1,274,204,416
  5. Step 5: Solve for x
    x = 1,274,204,416/29,072
  6. Step 6: Final answer
    x = 43,829.27

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.