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Finding the Third Proportional to 38,825 and 83,253

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Solution

The third proportional to 38,825 and 83,253 is: 178,520.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,825 : 83,253 = 83,253 : x
  2. Step 2: Convert to fraction form
    38,825/83,253 = 83,253/x
  3. Step 3: Cross multiply
    38,825x = 83,253 × 83,253
  4. Step 4: Simplify right side
    38,825x = 6,931,062,009
  5. Step 5: Solve for x
    x = 6,931,062,009/38,825
  6. Step 6: Final answer
    x = 178,520.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.