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Finding the Third Proportional to 39,988.69 and 43,542.56

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Solution

The third proportional to 39,988.69 and 43,542.56 is: 47,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,988.69 : 43,542.56 = 43,542.56 : x
  2. Step 2: Convert to fraction form
    39,988.69/43,542.56 = 43,542.56/x
  3. Step 3: Cross multiply
    39,988.69x = 43,542.56 × 43,542.56
  4. Step 4: Simplify right side
    39,988.69x = 1,895,954,749.07
  5. Step 5: Solve for x
    x = 1,895,954,749.07/39,988.69
  6. Step 6: Final answer
    x = 47,412.28

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.