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Finding the Third Proportional to 37,357 and 80,937

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Solution

The third proportional to 37,357 and 80,937 is: 175,356.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,357 : 80,937 = 80,937 : x
  2. Step 2: Convert to fraction form
    37,357/80,937 = 80,937/x
  3. Step 3: Cross multiply
    37,357x = 80,937 × 80,937
  4. Step 4: Simplify right side
    37,357x = 6,550,797,969
  5. Step 5: Solve for x
    x = 6,550,797,969/37,357
  6. Step 6: Final answer
    x = 175,356.64

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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.