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Finding the Third Proportional to 39,991.50 and 92,581.13

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Solution

The third proportional to 39,991.50 and 92,581.13 is: 214,327.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,991.50 : 92,581.13 = 92,581.13 : x
  2. Step 2: Convert to fraction form
    39,991.50/92,581.13 = 92,581.13/x
  3. Step 3: Cross multiply
    39,991.50x = 92,581.13 × 92,581.13
  4. Step 4: Simplify right side
    39,991.50x = 8,571,264,706.27
  5. Step 5: Solve for x
    x = 8,571,264,706.27/39,991.50
  6. Step 6: Final answer
    x = 214,327.16

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.