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Finding the Third Proportional to 36,831 and 80,409

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Solution

The third proportional to 36,831 and 80,409 is: 175,547.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,831 : 80,409 = 80,409 : x
  2. Step 2: Convert to fraction form
    36,831/80,409 = 80,409/x
  3. Step 3: Cross multiply
    36,831x = 80,409 × 80,409
  4. Step 4: Simplify right side
    36,831x = 6,465,607,281
  5. Step 5: Solve for x
    x = 6,465,607,281/36,831
  6. Step 6: Final answer
    x = 175,547.97

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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.