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Finding the Third Proportional to 39,672.28 and 82,625.06

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Solution

The third proportional to 39,672.28 and 82,625.06 is: 172,082.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,672.28 : 82,625.06 = 82,625.06 : x
  2. Step 2: Convert to fraction form
    39,672.28/82,625.06 = 82,625.06/x
  3. Step 3: Cross multiply
    39,672.28x = 82,625.06 × 82,625.06
  4. Step 4: Simplify right side
    39,672.28x = 6,826,900,953.13
  5. Step 5: Solve for x
    x = 6,826,900,953.13/39,672.28
  6. Step 6: Final answer
    x = 172,082.39

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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.