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Finding the Third Proportional to 34,231.50 and 72,837

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Solution

The third proportional to 34,231.50 and 72,837 is: 154,980.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,231.50 : 72,837 = 72,837 : x
  2. Step 2: Convert to fraction form
    34,231.50/72,837 = 72,837/x
  3. Step 3: Cross multiply
    34,231.50x = 72,837 × 72,837
  4. Step 4: Simplify right side
    34,231.50x = 5,305,228,569
  5. Step 5: Solve for x
    x = 5,305,228,569/34,231.50
  6. Step 6: Final answer
    x = 154,980.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.