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Finding the Third Proportional to 35,360 and 76,855

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Solution

The third proportional to 35,360 and 76,855 is: 167,044.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,360 : 76,855 = 76,855 : x
  2. Step 2: Convert to fraction form
    35,360/76,855 = 76,855/x
  3. Step 3: Cross multiply
    35,360x = 76,855 × 76,855
  4. Step 4: Simplify right side
    35,360x = 5,906,691,025
  5. Step 5: Solve for x
    x = 5,906,691,025/35,360
  6. Step 6: Final answer
    x = 167,044.43

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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.