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Finding the Third Proportional to 6,758.44 and 12,048.75

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Solution

The third proportional to 6,758.44 and 12,048.75 is: 21,480.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.44 : 12,048.75 = 12,048.75 : x
  2. Step 2: Convert to fraction form
    6,758.44/12,048.75 = 12,048.75/x
  3. Step 3: Cross multiply
    6,758.44x = 12,048.75 × 12,048.75
  4. Step 4: Simplify right side
    6,758.44x = 145,172,376.56
  5. Step 5: Solve for x
    x = 145,172,376.56/6,758.44
  6. Step 6: Final answer
    x = 21,480.17

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.