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Finding the Third Proportional to 38,433 and 58,161

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Solution

The third proportional to 38,433 and 58,161 is: 88,015.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,433 : 58,161 = 58,161 : x
  2. Step 2: Convert to fraction form
    38,433/58,161 = 58,161/x
  3. Step 3: Cross multiply
    38,433x = 58,161 × 58,161
  4. Step 4: Simplify right side
    38,433x = 3,382,701,921
  5. Step 5: Solve for x
    x = 3,382,701,921/38,433
  6. Step 6: Final answer
    x = 88,015.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.