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Finding the Third Proportional to 20,614.50 and 30,942

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Solution

The third proportional to 20,614.50 and 30,942 is: 46,443.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,614.50 : 30,942 = 30,942 : x
  2. Step 2: Convert to fraction form
    20,614.50/30,942 = 30,942/x
  3. Step 3: Cross multiply
    20,614.50x = 30,942 × 30,942
  4. Step 4: Simplify right side
    20,614.50x = 957,407,364
  5. Step 5: Solve for x
    x = 957,407,364/20,614.50
  6. Step 6: Final answer
    x = 46,443.39

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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.