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Finding the Third Proportional to 16,874 and 36,925

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Solution

The third proportional to 16,874 and 36,925 is: 80,802.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,874 : 36,925 = 36,925 : x
  2. Step 2: Convert to fraction form
    16,874/36,925 = 36,925/x
  3. Step 3: Cross multiply
    16,874x = 36,925 × 36,925
  4. Step 4: Simplify right side
    16,874x = 1,363,455,625
  5. Step 5: Solve for x
    x = 1,363,455,625/16,874
  6. Step 6: Final answer
    x = 80,802.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.