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Finding the Third Proportional to 37,515 and 82,001

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Solution

The third proportional to 37,515 and 82,001 is: 179,239.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,515 : 82,001 = 82,001 : x
  2. Step 2: Convert to fraction form
    37,515/82,001 = 82,001/x
  3. Step 3: Cross multiply
    37,515x = 82,001 × 82,001
  4. Step 4: Simplify right side
    37,515x = 6,724,164,001
  5. Step 5: Solve for x
    x = 6,724,164,001/37,515
  6. Step 6: Final answer
    x = 179,239.34

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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.