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Finding the Third Proportional to 35,960 and 54,195

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Solution

The third proportional to 35,960 and 54,195 is: 81,676.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,960 : 54,195 = 54,195 : x
  2. Step 2: Convert to fraction form
    35,960/54,195 = 54,195/x
  3. Step 3: Cross multiply
    35,960x = 54,195 × 54,195
  4. Step 4: Simplify right side
    35,960x = 2,937,098,025
  5. Step 5: Solve for x
    x = 2,937,098,025/35,960
  6. Step 6: Final answer
    x = 81,676.81

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Why These Related Problems?

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