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Finding the Third Proportional to 38,945.25 and 82,750.50

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Solution

The third proportional to 38,945.25 and 82,750.50 is: 175,827.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,945.25 : 82,750.50 = 82,750.50 : x
  2. Step 2: Convert to fraction form
    38,945.25/82,750.50 = 82,750.50/x
  3. Step 3: Cross multiply
    38,945.25x = 82,750.50 × 82,750.50
  4. Step 4: Simplify right side
    38,945.25x = 6,847,645,250.25
  5. Step 5: Solve for x
    x = 6,847,645,250.25/38,945.25
  6. Step 6: Final answer
    x = 175,827.48

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.