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Finding the Third Proportional to 39,621.38 and 81,064.63

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Solution

The third proportional to 39,621.38 and 81,064.63 is: 165,856.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,621.38 : 81,064.63 = 81,064.63 : x
  2. Step 2: Convert to fraction form
    39,621.38/81,064.63 = 81,064.63/x
  3. Step 3: Cross multiply
    39,621.38x = 81,064.63 × 81,064.63
  4. Step 4: Simplify right side
    39,621.38x = 6,571,473,426.39
  5. Step 5: Solve for x
    x = 6,571,473,426.39/39,621.38
  6. Step 6: Final answer
    x = 165,856.77

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.