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Finding the Third Proportional to 32,729.25 and 50,045.25

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Solution

The third proportional to 32,729.25 and 50,045.25 is: 76,522.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,729.25 : 50,045.25 = 50,045.25 : x
  2. Step 2: Convert to fraction form
    32,729.25/50,045.25 = 50,045.25/x
  3. Step 3: Cross multiply
    32,729.25x = 50,045.25 × 50,045.25
  4. Step 4: Simplify right side
    32,729.25x = 2,504,527,047.56
  5. Step 5: Solve for x
    x = 2,504,527,047.56/32,729.25
  6. Step 6: Final answer
    x = 76,522.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.