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Finding the Third Proportional to 39,254.63 and 81,789.75

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Solution

The third proportional to 39,254.63 and 81,789.75 is: 170,414.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,254.63 : 81,789.75 = 81,789.75 : x
  2. Step 2: Convert to fraction form
    39,254.63/81,789.75 = 81,789.75/x
  3. Step 3: Cross multiply
    39,254.63x = 81,789.75 × 81,789.75
  4. Step 4: Simplify right side
    39,254.63x = 6,689,563,205.06
  5. Step 5: Solve for x
    x = 6,689,563,205.06/39,254.63
  6. Step 6: Final answer
    x = 170,414.65

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.