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Finding the Third Proportional to 24,150 and 36,153

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Solution

The third proportional to 24,150 and 36,153 is: 54,121.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,150 : 36,153 = 36,153 : x
  2. Step 2: Convert to fraction form
    24,150/36,153 = 36,153/x
  3. Step 3: Cross multiply
    24,150x = 36,153 × 36,153
  4. Step 4: Simplify right side
    24,150x = 1,307,039,409
  5. Step 5: Solve for x
    x = 1,307,039,409/24,150
  6. Step 6: Final answer
    x = 54,121.71

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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.