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Finding the Third Proportional to 38,804.63 and 83,552.63

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Solution

The third proportional to 38,804.63 and 83,552.63 is: 179,902.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,804.63 : 83,552.63 = 83,552.63 : x
  2. Step 2: Convert to fraction form
    38,804.63/83,552.63 = 83,552.63/x
  3. Step 3: Cross multiply
    38,804.63x = 83,552.63 × 83,552.63
  4. Step 4: Simplify right side
    38,804.63x = 6,981,041,144.39
  5. Step 5: Solve for x
    x = 6,981,041,144.39/38,804.63
  6. Step 6: Final answer
    x = 179,902.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.