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Finding the Third Proportional to 16,904 and 25,077

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Solution

The third proportional to 16,904 and 25,077 is: 37,201.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,904 : 25,077 = 25,077 : x
  2. Step 2: Convert to fraction form
    16,904/25,077 = 25,077/x
  3. Step 3: Cross multiply
    16,904x = 25,077 × 25,077
  4. Step 4: Simplify right side
    16,904x = 628,855,929
  5. Step 5: Solve for x
    x = 628,855,929/16,904
  6. Step 6: Final answer
    x = 37,201.60

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.