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Finding the Third Proportional to 24,450.25 and 36,231.25

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Solution

The third proportional to 24,450.25 and 36,231.25 is: 53,688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,450.25 : 36,231.25 = 36,231.25 : x
  2. Step 2: Convert to fraction form
    24,450.25/36,231.25 = 36,231.25/x
  3. Step 3: Cross multiply
    24,450.25x = 36,231.25 × 36,231.25
  4. Step 4: Simplify right side
    24,450.25x = 1,312,703,476.56
  5. Step 5: Solve for x
    x = 1,312,703,476.56/24,450.25
  6. Step 6: Final answer
    x = 53,688.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.