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Finding the Third Proportional to 35,098 and 82,852

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Solution

The third proportional to 35,098 and 82,852 is: 195,579.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,098 : 82,852 = 82,852 : x
  2. Step 2: Convert to fraction form
    35,098/82,852 = 82,852/x
  3. Step 3: Cross multiply
    35,098x = 82,852 × 82,852
  4. Step 4: Simplify right side
    35,098x = 6,864,453,904
  5. Step 5: Solve for x
    x = 6,864,453,904/35,098
  6. Step 6: Final answer
    x = 195,579.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.