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Finding the Third Proportional to 39,234.75 and 85,758.75

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Solution

The third proportional to 39,234.75 and 85,758.75 is: 187,450.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,234.75 : 85,758.75 = 85,758.75 : x
  2. Step 2: Convert to fraction form
    39,234.75/85,758.75 = 85,758.75/x
  3. Step 3: Cross multiply
    39,234.75x = 85,758.75 × 85,758.75
  4. Step 4: Simplify right side
    39,234.75x = 7,354,563,201.56
  5. Step 5: Solve for x
    x = 7,354,563,201.56/39,234.75
  6. Step 6: Final answer
    x = 187,450.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.