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Finding the Third Proportional to 6,576.75 and 13,740.75

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Solution

The third proportional to 6,576.75 and 13,740.75 is: 28,708.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.75 : 13,740.75 = 13,740.75 : x
  2. Step 2: Convert to fraction form
    6,576.75/13,740.75 = 13,740.75/x
  3. Step 3: Cross multiply
    6,576.75x = 13,740.75 × 13,740.75
  4. Step 4: Simplify right side
    6,576.75x = 188,808,210.56
  5. Step 5: Solve for x
    x = 188,808,210.56/6,576.75
  6. Step 6: Final answer
    x = 28,708.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.