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Finding the Third Proportional to 26,471.75 and 41,005.25

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Solution

The third proportional to 26,471.75 and 41,005.25 is: 63,517.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,471.75 : 41,005.25 = 41,005.25 : x
  2. Step 2: Convert to fraction form
    26,471.75/41,005.25 = 41,005.25/x
  3. Step 3: Cross multiply
    26,471.75x = 41,005.25 × 41,005.25
  4. Step 4: Simplify right side
    26,471.75x = 1,681,430,527.56
  5. Step 5: Solve for x
    x = 1,681,430,527.56/26,471.75
  6. Step 6: Final answer
    x = 63,517.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.