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Finding the Third Proportional to 40,503.75 and 62,447.25

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Solution

The third proportional to 40,503.75 and 62,447.25 is: 96,278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,503.75 : 62,447.25 = 62,447.25 : x
  2. Step 2: Convert to fraction form
    40,503.75/62,447.25 = 62,447.25/x
  3. Step 3: Cross multiply
    40,503.75x = 62,447.25 × 62,447.25
  4. Step 4: Simplify right side
    40,503.75x = 3,899,659,032.56
  5. Step 5: Solve for x
    x = 3,899,659,032.56/40,503.75
  6. Step 6: Final answer
    x = 96,278.96

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.