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Finding the Third Proportional to 24,453 and 36,665

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Solution

The third proportional to 24,453 and 36,665 is: 54,975.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,453 : 36,665 = 36,665 : x
  2. Step 2: Convert to fraction form
    24,453/36,665 = 36,665/x
  3. Step 3: Cross multiply
    24,453x = 36,665 × 36,665
  4. Step 4: Simplify right side
    24,453x = 1,344,322,225
  5. Step 5: Solve for x
    x = 1,344,322,225/24,453
  6. Step 6: Final answer
    x = 54,975.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.