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Finding the Third Proportional to 35,967 and 54,457

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Solution

The third proportional to 35,967 and 54,457 is: 82,452.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,967 : 54,457 = 54,457 : x
  2. Step 2: Convert to fraction form
    35,967/54,457 = 54,457/x
  3. Step 3: Cross multiply
    35,967x = 54,457 × 54,457
  4. Step 4: Simplify right side
    35,967x = 2,965,564,849
  5. Step 5: Solve for x
    x = 2,965,564,849/35,967
  6. Step 6: Final answer
    x = 82,452.38

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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.