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Finding the Third Proportional to 25,905.75 and 40,003.25

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Solution

The third proportional to 25,905.75 and 40,003.25 is: 61,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,905.75 : 40,003.25 = 40,003.25 : x
  2. Step 2: Convert to fraction form
    25,905.75/40,003.25 = 40,003.25/x
  3. Step 3: Cross multiply
    25,905.75x = 40,003.25 × 40,003.25
  4. Step 4: Simplify right side
    25,905.75x = 1,600,260,010.56
  5. Step 5: Solve for x
    x = 1,600,260,010.56/25,905.75
  6. Step 6: Final answer
    x = 61,772.39

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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.