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Finding the Third Proportional to 24,238.50 and 50,684.50

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Solution

The third proportional to 24,238.50 and 50,684.50 is: 105,985.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,238.50 : 50,684.50 = 50,684.50 : x
  2. Step 2: Convert to fraction form
    24,238.50/50,684.50 = 50,684.50/x
  3. Step 3: Cross multiply
    24,238.50x = 50,684.50 × 50,684.50
  4. Step 4: Simplify right side
    24,238.50x = 2,568,918,540.25
  5. Step 5: Solve for x
    x = 2,568,918,540.25/24,238.50
  6. Step 6: Final answer
    x = 105,985.05

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.