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Finding the Third Proportional to 6,761.25 and 14,751.56

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Solution

The third proportional to 6,761.25 and 14,751.56 is: 32,184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.25 : 14,751.56 = 14,751.56 : x
  2. Step 2: Convert to fraction form
    6,761.25/14,751.56 = 14,751.56/x
  3. Step 3: Cross multiply
    6,761.25x = 14,751.56 × 14,751.56
  4. Step 4: Simplify right side
    6,761.25x = 217,608,596.19
  5. Step 5: Solve for x
    x = 217,608,596.19/6,761.25
  6. Step 6: Final answer
    x = 32,184.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.