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Finding the Third Proportional to 6,738.75 and 14,175.56

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Solution

The third proportional to 6,738.75 and 14,175.56 is: 29,819.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.75 : 14,175.56 = 14,175.56 : x
  2. Step 2: Convert to fraction form
    6,738.75/14,175.56 = 14,175.56/x
  3. Step 3: Cross multiply
    6,738.75x = 14,175.56 × 14,175.56
  4. Step 4: Simplify right side
    6,738.75x = 200,946,572.19
  5. Step 5: Solve for x
    x = 200,946,572.19/6,738.75
  6. Step 6: Final answer
    x = 29,819.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.