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Finding the Third Proportional to 35,906.10 and 54,358.91

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Solution

The third proportional to 35,906.10 and 54,358.91 is: 82,294.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,906.10 : 54,358.91 = 54,358.91 : x
  2. Step 2: Convert to fraction form
    35,906.10/54,358.91 = 54,358.91/x
  3. Step 3: Cross multiply
    35,906.10x = 54,358.91 × 54,358.91
  4. Step 4: Simplify right side
    35,906.10x = 2,954,891,113.38
  5. Step 5: Solve for x
    x = 2,954,891,113.38/35,906.10
  6. Step 6: Final answer
    x = 82,294.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.