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Finding the Third Proportional to 16,907 and 37,000

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Solution

The third proportional to 16,907 and 37,000 is: 80,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,907 : 37,000 = 37,000 : x
  2. Step 2: Convert to fraction form
    16,907/37,000 = 37,000/x
  3. Step 3: Cross multiply
    16,907x = 37,000 × 37,000
  4. Step 4: Simplify right side
    16,907x = 1,369,000,000
  5. Step 5: Solve for x
    x = 1,369,000,000/16,907
  6. Step 6: Final answer
    x = 80,972.38

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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.