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Finding the Third Proportional to 32,082.75 and 74,958.75

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Solution

The third proportional to 32,082.75 and 74,958.75 is: 175,135.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,082.75 : 74,958.75 = 74,958.75 : x
  2. Step 2: Convert to fraction form
    32,082.75/74,958.75 = 74,958.75/x
  3. Step 3: Cross multiply
    32,082.75x = 74,958.75 × 74,958.75
  4. Step 4: Simplify right side
    32,082.75x = 5,618,814,201.56
  5. Step 5: Solve for x
    x = 5,618,814,201.56/32,082.75
  6. Step 6: Final answer
    x = 175,135.06

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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.