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Finding the Third Proportional to 38,220.75 and 81,362.25

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Solution

The third proportional to 38,220.75 and 81,362.25 is: 173,199.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,220.75 : 81,362.25 = 81,362.25 : x
  2. Step 2: Convert to fraction form
    38,220.75/81,362.25 = 81,362.25/x
  3. Step 3: Cross multiply
    38,220.75x = 81,362.25 × 81,362.25
  4. Step 4: Simplify right side
    38,220.75x = 6,619,815,725.06
  5. Step 5: Solve for x
    x = 6,619,815,725.06/38,220.75
  6. Step 6: Final answer
    x = 173,199.52

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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.