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Finding the Third Proportional to 16,927 and 25,714

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Solution

The third proportional to 16,927 and 25,714 is: 39,062.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,927 : 25,714 = 25,714 : x
  2. Step 2: Convert to fraction form
    16,927/25,714 = 25,714/x
  3. Step 3: Cross multiply
    16,927x = 25,714 × 25,714
  4. Step 4: Simplify right side
    16,927x = 661,209,796
  5. Step 5: Solve for x
    x = 661,209,796/16,927
  6. Step 6: Final answer
    x = 39,062.43

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