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Finding the Third Proportional to 40,027.50 and 57,975.75

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Solution

The third proportional to 40,027.50 and 57,975.75 is: 83,971.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,027.50 : 57,975.75 = 57,975.75 : x
  2. Step 2: Convert to fraction form
    40,027.50/57,975.75 = 57,975.75/x
  3. Step 3: Cross multiply
    40,027.50x = 57,975.75 × 57,975.75
  4. Step 4: Simplify right side
    40,027.50x = 3,361,187,588.06
  5. Step 5: Solve for x
    x = 3,361,187,588.06/40,027.50
  6. Step 6: Final answer
    x = 83,971.96

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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.