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Finding the Third Proportional to 6,324.75 and 13,322.81

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Solution

The third proportional to 6,324.75 and 13,322.81 is: 28,063.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.75 : 13,322.81 = 13,322.81 : x
  2. Step 2: Convert to fraction form
    6,324.75/13,322.81 = 13,322.81/x
  3. Step 3: Cross multiply
    6,324.75x = 13,322.81 × 13,322.81
  4. Step 4: Simplify right side
    6,324.75x = 177,497,332.91
  5. Step 5: Solve for x
    x = 177,497,332.91/6,324.75
  6. Step 6: Final answer
    x = 28,063.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.