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Finding the Third Proportional to 43,147.50 and 57,986.25

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Solution

The third proportional to 43,147.50 and 57,986.25 is: 77,928.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,147.50 : 57,986.25 = 57,986.25 : x
  2. Step 2: Convert to fraction form
    43,147.50/57,986.25 = 57,986.25/x
  3. Step 3: Cross multiply
    43,147.50x = 57,986.25 × 57,986.25
  4. Step 4: Simplify right side
    43,147.50x = 3,362,405,189.06
  5. Step 5: Solve for x
    x = 3,362,405,189.06/43,147.50
  6. Step 6: Final answer
    x = 77,928.16

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.