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Finding the Third Proportional to 38,475 and 91,692

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Solution

The third proportional to 38,475 and 91,692 is: 218,516.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,475 : 91,692 = 91,692 : x
  2. Step 2: Convert to fraction form
    38,475/91,692 = 91,692/x
  3. Step 3: Cross multiply
    38,475x = 91,692 × 91,692
  4. Step 4: Simplify right side
    38,475x = 8,407,422,864
  5. Step 5: Solve for x
    x = 8,407,422,864/38,475
  6. Step 6: Final answer
    x = 218,516.51

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.