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Finding the Third Proportional to 13,203 and 30,840.75

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Solution

The third proportional to 13,203 and 30,840.75 is: 72,040.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203 : 30,840.75 = 30,840.75 : x
  2. Step 2: Convert to fraction form
    13,203/30,840.75 = 30,840.75/x
  3. Step 3: Cross multiply
    13,203x = 30,840.75 × 30,840.75
  4. Step 4: Simplify right side
    13,203x = 951,151,860.56
  5. Step 5: Solve for x
    x = 951,151,860.56/13,203
  6. Step 6: Final answer
    x = 72,040.59

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.