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Finding the Third Proportional to 39,678 and 53,826.75

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Solution

The third proportional to 39,678 and 53,826.75 is: 73,020.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,678 : 53,826.75 = 53,826.75 : x
  2. Step 2: Convert to fraction form
    39,678/53,826.75 = 53,826.75/x
  3. Step 3: Cross multiply
    39,678x = 53,826.75 × 53,826.75
  4. Step 4: Simplify right side
    39,678x = 2,897,319,015.56
  5. Step 5: Solve for x
    x = 2,897,319,015.56/39,678
  6. Step 6: Final answer
    x = 73,020.79

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.