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Finding the Third Proportional to 39,409.50 and 87,567

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Solution

The third proportional to 39,409.50 and 87,567 is: 194,571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,409.50 : 87,567 = 87,567 : x
  2. Step 2: Convert to fraction form
    39,409.50/87,567 = 87,567/x
  3. Step 3: Cross multiply
    39,409.50x = 87,567 × 87,567
  4. Step 4: Simplify right side
    39,409.50x = 7,667,979,489
  5. Step 5: Solve for x
    x = 7,667,979,489/39,409.50
  6. Step 6: Final answer
    x = 194,571.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.