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Finding the Third Proportional to 35,728 and 54,168

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Solution

The third proportional to 35,728 and 54,168 is: 82,125.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,728 : 54,168 = 54,168 : x
  2. Step 2: Convert to fraction form
    35,728/54,168 = 54,168/x
  3. Step 3: Cross multiply
    35,728x = 54,168 × 54,168
  4. Step 4: Simplify right side
    35,728x = 2,934,172,224
  5. Step 5: Solve for x
    x = 2,934,172,224/35,728
  6. Step 6: Final answer
    x = 82,125.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.