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Finding the Third Proportional to 39,714 and 52,983

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Solution

The third proportional to 39,714 and 52,983 is: 70,685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,714 : 52,983 = 52,983 : x
  2. Step 2: Convert to fraction form
    39,714/52,983 = 52,983/x
  3. Step 3: Cross multiply
    39,714x = 52,983 × 52,983
  4. Step 4: Simplify right side
    39,714x = 2,807,198,289
  5. Step 5: Solve for x
    x = 2,807,198,289/39,714
  6. Step 6: Final answer
    x = 70,685.36

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.