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Finding the Third Proportional to 38,245.50 and 84,055.50

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Solution

The third proportional to 38,245.50 and 84,055.50 is: 184,736.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,245.50 : 84,055.50 = 84,055.50 : x
  2. Step 2: Convert to fraction form
    38,245.50/84,055.50 = 84,055.50/x
  3. Step 3: Cross multiply
    38,245.50x = 84,055.50 × 84,055.50
  4. Step 4: Simplify right side
    38,245.50x = 7,065,327,080.25
  5. Step 5: Solve for x
    x = 7,065,327,080.25/38,245.50
  6. Step 6: Final answer
    x = 184,736.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.