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Finding the Third Proportional to 22,183.50 and 53,535

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Solution

The third proportional to 22,183.50 and 53,535 is: 129,194.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,183.50 : 53,535 = 53,535 : x
  2. Step 2: Convert to fraction form
    22,183.50/53,535 = 53,535/x
  3. Step 3: Cross multiply
    22,183.50x = 53,535 × 53,535
  4. Step 4: Simplify right side
    22,183.50x = 2,865,996,225
  5. Step 5: Solve for x
    x = 2,865,996,225/22,183.50
  6. Step 6: Final answer
    x = 129,194.95

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.