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Finding the Third Proportional to 35,247 and 52,857

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Solution

The third proportional to 35,247 and 52,857 is: 79,265.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,247 : 52,857 = 52,857 : x
  2. Step 2: Convert to fraction form
    35,247/52,857 = 52,857/x
  3. Step 3: Cross multiply
    35,247x = 52,857 × 52,857
  4. Step 4: Simplify right side
    35,247x = 2,793,862,449
  5. Step 5: Solve for x
    x = 2,793,862,449/35,247
  6. Step 6: Final answer
    x = 79,265.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.