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Finding the Third Proportional to 35,362 and 76,859

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Solution

The third proportional to 35,362 and 76,859 is: 167,052.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,362 : 76,859 = 76,859 : x
  2. Step 2: Convert to fraction form
    35,362/76,859 = 76,859/x
  3. Step 3: Cross multiply
    35,362x = 76,859 × 76,859
  4. Step 4: Simplify right side
    35,362x = 5,907,305,881
  5. Step 5: Solve for x
    x = 5,907,305,881/35,362
  6. Step 6: Final answer
    x = 167,052.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.