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Finding the Third Proportional to 13,923.14 and 30,614.20

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Solution

The third proportional to 13,923.14 and 30,614.20 is: 67,314.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,923.14 : 30,614.20 = 30,614.20 : x
  2. Step 2: Convert to fraction form
    13,923.14/30,614.20 = 30,614.20/x
  3. Step 3: Cross multiply
    13,923.14x = 30,614.20 × 30,614.20
  4. Step 4: Simplify right side
    13,923.14x = 937,229,432.98
  5. Step 5: Solve for x
    x = 937,229,432.98/13,923.14
  6. Step 6: Final answer
    x = 67,314.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.