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Finding the Third Proportional to 43,816.50 and 48,010.50

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Solution

The third proportional to 43,816.50 and 48,010.50 is: 52,605.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,816.50 : 48,010.50 = 48,010.50 : x
  2. Step 2: Convert to fraction form
    43,816.50/48,010.50 = 48,010.50/x
  3. Step 3: Cross multiply
    43,816.50x = 48,010.50 × 48,010.50
  4. Step 4: Simplify right side
    43,816.50x = 2,305,008,110.25
  5. Step 5: Solve for x
    x = 2,305,008,110.25/43,816.50
  6. Step 6: Final answer
    x = 52,605.94

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.