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Finding the Third Proportional to 43,213.50 and 53,149.50

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Solution

The third proportional to 43,213.50 and 53,149.50 is: 65,370.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,213.50 : 53,149.50 = 53,149.50 : x
  2. Step 2: Convert to fraction form
    43,213.50/53,149.50 = 53,149.50/x
  3. Step 3: Cross multiply
    43,213.50x = 53,149.50 × 53,149.50
  4. Step 4: Simplify right side
    43,213.50x = 2,824,869,350.25
  5. Step 5: Solve for x
    x = 2,824,869,350.25/43,213.50
  6. Step 6: Final answer
    x = 65,370.07

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These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.