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Finding the Third Proportional to 40,889.25 and 84,330

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Solution

The third proportional to 40,889.25 and 84,330 is: 173,922.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,889.25 : 84,330 = 84,330 : x
  2. Step 2: Convert to fraction form
    40,889.25/84,330 = 84,330/x
  3. Step 3: Cross multiply
    40,889.25x = 84,330 × 84,330
  4. Step 4: Simplify right side
    40,889.25x = 7,111,548,900
  5. Step 5: Solve for x
    x = 7,111,548,900/40,889.25
  6. Step 6: Final answer
    x = 173,922.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.