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Finding the Third Proportional to 37,999.13 and 84,199.50

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Solution

The third proportional to 37,999.13 and 84,199.50 is: 186,571.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,999.13 : 84,199.50 = 84,199.50 : x
  2. Step 2: Convert to fraction form
    37,999.13/84,199.50 = 84,199.50/x
  3. Step 3: Cross multiply
    37,999.13x = 84,199.50 × 84,199.50
  4. Step 4: Simplify right side
    37,999.13x = 7,089,555,800.25
  5. Step 5: Solve for x
    x = 7,089,555,800.25/37,999.13
  6. Step 6: Final answer
    x = 186,571.55

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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.