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Finding the Third Proportional to 30,557.25 and 44,232.75

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Solution

The third proportional to 30,557.25 and 44,232.75 is: 64,028.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,557.25 : 44,232.75 = 44,232.75 : x
  2. Step 2: Convert to fraction form
    30,557.25/44,232.75 = 44,232.75/x
  3. Step 3: Cross multiply
    30,557.25x = 44,232.75 × 44,232.75
  4. Step 4: Simplify right side
    30,557.25x = 1,956,536,172.56
  5. Step 5: Solve for x
    x = 1,956,536,172.56/30,557.25
  6. Step 6: Final answer
    x = 64,028.54

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.