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Finding the Third Proportional to 35,397 and 76,041

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Solution

The third proportional to 35,397 and 76,041 is: 163,353.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,397 : 76,041 = 76,041 : x
  2. Step 2: Convert to fraction form
    35,397/76,041 = 76,041/x
  3. Step 3: Cross multiply
    35,397x = 76,041 × 76,041
  4. Step 4: Simplify right side
    35,397x = 5,782,233,681
  5. Step 5: Solve for x
    x = 5,782,233,681/35,397
  6. Step 6: Final answer
    x = 163,353.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.