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Finding the Third Proportional to 37,363.25 and 80,629

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Solution

The third proportional to 37,363.25 and 80,629 is: 173,995.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,363.25 : 80,629 = 80,629 : x
  2. Step 2: Convert to fraction form
    37,363.25/80,629 = 80,629/x
  3. Step 3: Cross multiply
    37,363.25x = 80,629 × 80,629
  4. Step 4: Simplify right side
    37,363.25x = 6,501,035,641
  5. Step 5: Solve for x
    x = 6,501,035,641/37,363.25
  6. Step 6: Final answer
    x = 173,995.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.