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Finding the Third Proportional to 37,628 and 82,252.38

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Solution

The third proportional to 37,628 and 82,252.38 is: 179,798.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,628 : 82,252.38 = 82,252.38 : x
  2. Step 2: Convert to fraction form
    37,628/82,252.38 = 82,252.38/x
  3. Step 3: Cross multiply
    37,628x = 82,252.38 × 82,252.38
  4. Step 4: Simplify right side
    37,628x = 6,765,453,193.14
  5. Step 5: Solve for x
    x = 6,765,453,193.14/37,628
  6. Step 6: Final answer
    x = 179,798.37

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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.