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Finding the Third Proportional to 15,906.38 and 34,581.94

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Solution

The third proportional to 15,906.38 and 34,581.94 is: 75,184.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906.38 : 34,581.94 = 34,581.94 : x
  2. Step 2: Convert to fraction form
    15,906.38/34,581.94 = 34,581.94/x
  3. Step 3: Cross multiply
    15,906.38x = 34,581.94 × 34,581.94
  4. Step 4: Simplify right side
    15,906.38x = 1,195,910,401.25
  5. Step 5: Solve for x
    x = 1,195,910,401.25/15,906.38
  6. Step 6: Final answer
    x = 75,184.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.