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Finding the Third Proportional to 37,505 and 82,015

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Solution

The third proportional to 37,505 and 82,015 is: 179,348.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,505 : 82,015 = 82,015 : x
  2. Step 2: Convert to fraction form
    37,505/82,015 = 82,015/x
  3. Step 3: Cross multiply
    37,505x = 82,015 × 82,015
  4. Step 4: Simplify right side
    37,505x = 6,726,460,225
  5. Step 5: Solve for x
    x = 6,726,460,225/37,505
  6. Step 6: Final answer
    x = 179,348.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.