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Finding the Third Proportional to 37,741 and 82,033

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Solution

The third proportional to 37,741 and 82,033 is: 178,305.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,741 : 82,033 = 82,033 : x
  2. Step 2: Convert to fraction form
    37,741/82,033 = 82,033/x
  3. Step 3: Cross multiply
    37,741x = 82,033 × 82,033
  4. Step 4: Simplify right side
    37,741x = 6,729,413,089
  5. Step 5: Solve for x
    x = 6,729,413,089/37,741
  6. Step 6: Final answer
    x = 178,305.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.