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Finding the Third Proportional to 36,925 and 80,533

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Solution

The third proportional to 36,925 and 80,533 is: 175,641.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,925 : 80,533 = 80,533 : x
  2. Step 2: Convert to fraction form
    36,925/80,533 = 80,533/x
  3. Step 3: Cross multiply
    36,925x = 80,533 × 80,533
  4. Step 4: Simplify right side
    36,925x = 6,485,564,089
  5. Step 5: Solve for x
    x = 6,485,564,089/36,925
  6. Step 6: Final answer
    x = 175,641.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.