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Finding the Third Proportional to 6,874.88 and 14,640.75

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Solution

The third proportional to 6,874.88 and 14,640.75 is: 31,178.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.88 : 14,640.75 = 14,640.75 : x
  2. Step 2: Convert to fraction form
    6,874.88/14,640.75 = 14,640.75/x
  3. Step 3: Cross multiply
    6,874.88x = 14,640.75 × 14,640.75
  4. Step 4: Simplify right side
    6,874.88x = 214,351,560.56
  5. Step 5: Solve for x
    x = 214,351,560.56/6,874.88
  6. Step 6: Final answer
    x = 31,178.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.