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Finding the Third Proportional to 24,450 and 36,729

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Solution

The third proportional to 24,450 and 36,729 is: 55,174.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,450 : 36,729 = 36,729 : x
  2. Step 2: Convert to fraction form
    24,450/36,729 = 36,729/x
  3. Step 3: Cross multiply
    24,450x = 36,729 × 36,729
  4. Step 4: Simplify right side
    24,450x = 1,349,019,441
  5. Step 5: Solve for x
    x = 1,349,019,441/24,450
  6. Step 6: Final answer
    x = 55,174.62

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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.