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Finding the Third Proportional to 30,633.19 and 72,474.75

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Solution

The third proportional to 30,633.19 and 72,474.75 is: 171,467.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,633.19 : 72,474.75 = 72,474.75 : x
  2. Step 2: Convert to fraction form
    30,633.19/72,474.75 = 72,474.75/x
  3. Step 3: Cross multiply
    30,633.19x = 72,474.75 × 72,474.75
  4. Step 4: Simplify right side
    30,633.19x = 5,252,589,387.56
  5. Step 5: Solve for x
    x = 5,252,589,387.56/30,633.19
  6. Step 6: Final answer
    x = 171,467.28

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.