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Finding the Third Proportional to 40,844.25 and 86,872.50

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Solution

The third proportional to 40,844.25 and 86,872.50 is: 184,770.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,844.25 : 86,872.50 = 86,872.50 : x
  2. Step 2: Convert to fraction form
    40,844.25/86,872.50 = 86,872.50/x
  3. Step 3: Cross multiply
    40,844.25x = 86,872.50 × 86,872.50
  4. Step 4: Simplify right side
    40,844.25x = 7,546,831,256.25
  5. Step 5: Solve for x
    x = 7,546,831,256.25/40,844.25
  6. Step 6: Final answer
    x = 184,770.96

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.