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Finding the Third Proportional to 34,738 and 81,921

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Solution

The third proportional to 34,738 and 81,921 is: 193,190.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,738 : 81,921 = 81,921 : x
  2. Step 2: Convert to fraction form
    34,738/81,921 = 81,921/x
  3. Step 3: Cross multiply
    34,738x = 81,921 × 81,921
  4. Step 4: Simplify right side
    34,738x = 6,711,050,241
  5. Step 5: Solve for x
    x = 6,711,050,241/34,738
  6. Step 6: Final answer
    x = 193,190.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.