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Finding the Third Proportional to 12,190.50 and 22,285.50

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Solution

The third proportional to 12,190.50 and 22,285.50 is: 40,740.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.50 : 22,285.50 = 22,285.50 : x
  2. Step 2: Convert to fraction form
    12,190.50/22,285.50 = 22,285.50/x
  3. Step 3: Cross multiply
    12,190.50x = 22,285.50 × 22,285.50
  4. Step 4: Simplify right side
    12,190.50x = 496,643,510.25
  5. Step 5: Solve for x
    x = 496,643,510.25/12,190.50
  6. Step 6: Final answer
    x = 40,740.21

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.