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Finding the Third Proportional to 12,654.19 and 30,222.75

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Solution

The third proportional to 12,654.19 and 30,222.75 is: 72,182.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654.19 : 30,222.75 = 30,222.75 : x
  2. Step 2: Convert to fraction form
    12,654.19/30,222.75 = 30,222.75/x
  3. Step 3: Cross multiply
    12,654.19x = 30,222.75 × 30,222.75
  4. Step 4: Simplify right side
    12,654.19x = 913,414,617.56
  5. Step 5: Solve for x
    x = 913,414,617.56/12,654.19
  6. Step 6: Final answer
    x = 72,182.79

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.