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Finding the Third Proportional to 12,725.23 and 27,409.64

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Solution

The third proportional to 12,725.23 and 27,409.64 is: 59,039.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,725.23 : 27,409.64 = 27,409.64 : x
  2. Step 2: Convert to fraction form
    12,725.23/27,409.64 = 27,409.64/x
  3. Step 3: Cross multiply
    12,725.23x = 27,409.64 × 27,409.64
  4. Step 4: Simplify right side
    12,725.23x = 751,288,399.19
  5. Step 5: Solve for x
    x = 751,288,399.19/12,725.23
  6. Step 6: Final answer
    x = 59,039.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.