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Finding the Third Proportional to 30,631.50 and 41,571.75

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Solution

The third proportional to 30,631.50 and 41,571.75 is: 56,419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,631.50 : 41,571.75 = 41,571.75 : x
  2. Step 2: Convert to fraction form
    30,631.50/41,571.75 = 41,571.75/x
  3. Step 3: Cross multiply
    30,631.50x = 41,571.75 × 41,571.75
  4. Step 4: Simplify right side
    30,631.50x = 1,728,210,398.06
  5. Step 5: Solve for x
    x = 1,728,210,398.06/30,631.50
  6. Step 6: Final answer
    x = 56,419.39

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.