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Finding the Third Proportional to 35,741 and 76,963

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Solution

The third proportional to 35,741 and 76,963 is: 165,728.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,741 : 76,963 = 76,963 : x
  2. Step 2: Convert to fraction form
    35,741/76,963 = 76,963/x
  3. Step 3: Cross multiply
    35,741x = 76,963 × 76,963
  4. Step 4: Simplify right side
    35,741x = 5,923,303,369
  5. Step 5: Solve for x
    x = 5,923,303,369/35,741
  6. Step 6: Final answer
    x = 165,728.53

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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.