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Finding the Third Proportional to 35,424 and 82,743

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Solution

The third proportional to 35,424 and 82,743 is: 193,270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,424 : 82,743 = 82,743 : x
  2. Step 2: Convert to fraction form
    35,424/82,743 = 82,743/x
  3. Step 3: Cross multiply
    35,424x = 82,743 × 82,743
  4. Step 4: Simplify right side
    35,424x = 6,846,404,049
  5. Step 5: Solve for x
    x = 6,846,404,049/35,424
  6. Step 6: Final answer
    x = 193,270.21

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.