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Finding the Third Proportional to 6,939.42 and 14,744.53

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Solution

The third proportional to 6,939.42 and 14,744.53 is: 31,328.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.42 : 14,744.53 = 14,744.53 : x
  2. Step 2: Convert to fraction form
    6,939.42/14,744.53 = 14,744.53/x
  3. Step 3: Cross multiply
    6,939.42x = 14,744.53 × 14,744.53
  4. Step 4: Simplify right side
    6,939.42x = 217,401,201.78
  5. Step 5: Solve for x
    x = 217,401,201.78/6,939.42
  6. Step 6: Final answer
    x = 31,328.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.