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Finding the Third Proportional to 37,094 and 82,491

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Solution

The third proportional to 37,094 and 82,491 is: 183,446.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,094 : 82,491 = 82,491 : x
  2. Step 2: Convert to fraction form
    37,094/82,491 = 82,491/x
  3. Step 3: Cross multiply
    37,094x = 82,491 × 82,491
  4. Step 4: Simplify right side
    37,094x = 6,804,765,081
  5. Step 5: Solve for x
    x = 6,804,765,081/37,094
  6. Step 6: Final answer
    x = 183,446.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.