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Finding the Third Proportional to 37,572 and 80,958

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Solution

The third proportional to 37,572 and 80,958 is: 174,443.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,572 : 80,958 = 80,958 : x
  2. Step 2: Convert to fraction form
    37,572/80,958 = 80,958/x
  3. Step 3: Cross multiply
    37,572x = 80,958 × 80,958
  4. Step 4: Simplify right side
    37,572x = 6,554,197,764
  5. Step 5: Solve for x
    x = 6,554,197,764/37,572
  6. Step 6: Final answer
    x = 174,443.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.