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Finding the Third Proportional to 38,424 and 84,252

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Solution

The third proportional to 38,424 and 84,252 is: 184,738.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,424 : 84,252 = 84,252 : x
  2. Step 2: Convert to fraction form
    38,424/84,252 = 84,252/x
  3. Step 3: Cross multiply
    38,424x = 84,252 × 84,252
  4. Step 4: Simplify right side
    38,424x = 7,098,399,504
  5. Step 5: Solve for x
    x = 7,098,399,504/38,424
  6. Step 6: Final answer
    x = 184,738.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.