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Finding the Third Proportional to 30,976.50 and 49,234.50

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Solution

The third proportional to 30,976.50 and 49,234.50 is: 78,254.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,976.50 : 49,234.50 = 49,234.50 : x
  2. Step 2: Convert to fraction form
    30,976.50/49,234.50 = 49,234.50/x
  3. Step 3: Cross multiply
    30,976.50x = 49,234.50 × 49,234.50
  4. Step 4: Simplify right side
    30,976.50x = 2,424,035,990.25
  5. Step 5: Solve for x
    x = 2,424,035,990.25/30,976.50
  6. Step 6: Final answer
    x = 78,254.03

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.