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Finding the Third Proportional to 12,593.25 and 18,713.25

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Solution

The third proportional to 12,593.25 and 18,713.25 is: 27,807.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,593.25 : 18,713.25 = 18,713.25 : x
  2. Step 2: Convert to fraction form
    12,593.25/18,713.25 = 18,713.25/x
  3. Step 3: Cross multiply
    12,593.25x = 18,713.25 × 18,713.25
  4. Step 4: Simplify right side
    12,593.25x = 350,185,725.56
  5. Step 5: Solve for x
    x = 350,185,725.56/12,593.25
  6. Step 6: Final answer
    x = 27,807.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.