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Finding the Third Proportional to 30,557.25 and 40,560.75

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Solution

The third proportional to 30,557.25 and 40,560.75 is: 53,839.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,557.25 : 40,560.75 = 40,560.75 : x
  2. Step 2: Convert to fraction form
    30,557.25/40,560.75 = 40,560.75/x
  3. Step 3: Cross multiply
    30,557.25x = 40,560.75 × 40,560.75
  4. Step 4: Simplify right side
    30,557.25x = 1,645,174,440.56
  5. Step 5: Solve for x
    x = 1,645,174,440.56/30,557.25
  6. Step 6: Final answer
    x = 53,839.09

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.