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Finding the Third Proportional to 39,527.50 and 85,616

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Solution

The third proportional to 39,527.50 and 85,616 is: 185,443.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,527.50 : 85,616 = 85,616 : x
  2. Step 2: Convert to fraction form
    39,527.50/85,616 = 85,616/x
  3. Step 3: Cross multiply
    39,527.50x = 85,616 × 85,616
  4. Step 4: Simplify right side
    39,527.50x = 7,330,099,456
  5. Step 5: Solve for x
    x = 7,330,099,456/39,527.50
  6. Step 6: Final answer
    x = 185,443.03

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.