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Finding the Third Proportional to 40,328 and 84,832

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Solution

The third proportional to 40,328 and 84,832 is: 178,448.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,328 : 84,832 = 84,832 : x
  2. Step 2: Convert to fraction form
    40,328/84,832 = 84,832/x
  3. Step 3: Cross multiply
    40,328x = 84,832 × 84,832
  4. Step 4: Simplify right side
    40,328x = 7,196,468,224
  5. Step 5: Solve for x
    x = 7,196,468,224/40,328
  6. Step 6: Final answer
    x = 178,448.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.