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Finding the Third Proportional to 38,342 and 84,062

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Solution

The third proportional to 38,342 and 84,062 is: 184,299.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,342 : 84,062 = 84,062 : x
  2. Step 2: Convert to fraction form
    38,342/84,062 = 84,062/x
  3. Step 3: Cross multiply
    38,342x = 84,062 × 84,062
  4. Step 4: Simplify right side
    38,342x = 7,066,419,844
  5. Step 5: Solve for x
    x = 7,066,419,844/38,342
  6. Step 6: Final answer
    x = 184,299.72

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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.