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Finding the Third Proportional to 41,212.97 and 64,280.25

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Solution

The third proportional to 41,212.97 and 64,280.25 is: 100,258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,212.97 : 64,280.25 = 64,280.25 : x
  2. Step 2: Convert to fraction form
    41,212.97/64,280.25 = 64,280.25/x
  3. Step 3: Cross multiply
    41,212.97x = 64,280.25 × 64,280.25
  4. Step 4: Simplify right side
    41,212.97x = 4,131,950,540.06
  5. Step 5: Solve for x
    x = 4,131,950,540.06/41,212.97
  6. Step 6: Final answer
    x = 100,258.50

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.