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Finding the Third Proportional to 40,048 and 82,904

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Solution

The third proportional to 40,048 and 82,904 is: 171,620.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,048 : 82,904 = 82,904 : x
  2. Step 2: Convert to fraction form
    40,048/82,904 = 82,904/x
  3. Step 3: Cross multiply
    40,048x = 82,904 × 82,904
  4. Step 4: Simplify right side
    40,048x = 6,873,073,216
  5. Step 5: Solve for x
    x = 6,873,073,216/40,048
  6. Step 6: Final answer
    x = 171,620.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.