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Finding the Third Proportional to 39,971.75 and 57,747.75

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Solution

The third proportional to 39,971.75 and 57,747.75 is: 83,428.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,971.75 : 57,747.75 = 57,747.75 : x
  2. Step 2: Convert to fraction form
    39,971.75/57,747.75 = 57,747.75/x
  3. Step 3: Cross multiply
    39,971.75x = 57,747.75 × 57,747.75
  4. Step 4: Simplify right side
    39,971.75x = 3,334,802,630.06
  5. Step 5: Solve for x
    x = 3,334,802,630.06/39,971.75
  6. Step 6: Final answer
    x = 83,428.99

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.