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Finding the Third Proportional to 38,346 and 82,852

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Solution

The third proportional to 38,346 and 82,852 is: 179,013.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,346 : 82,852 = 82,852 : x
  2. Step 2: Convert to fraction form
    38,346/82,852 = 82,852/x
  3. Step 3: Cross multiply
    38,346x = 82,852 × 82,852
  4. Step 4: Simplify right side
    38,346x = 6,864,453,904
  5. Step 5: Solve for x
    x = 6,864,453,904/38,346
  6. Step 6: Final answer
    x = 179,013.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.