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Finding the Third Proportional to 37,440 and 81,930

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Solution

The third proportional to 37,440 and 81,930 is: 179,287.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,440 : 81,930 = 81,930 : x
  2. Step 2: Convert to fraction form
    37,440/81,930 = 81,930/x
  3. Step 3: Cross multiply
    37,440x = 81,930 × 81,930
  4. Step 4: Simplify right side
    37,440x = 6,712,524,900
  5. Step 5: Solve for x
    x = 6,712,524,900/37,440
  6. Step 6: Final answer
    x = 179,287.52

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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.