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Finding the Third Proportional to 16,975 and 40,134

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Solution

The third proportional to 16,975 and 40,134 is: 94,888.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,975 : 40,134 = 40,134 : x
  2. Step 2: Convert to fraction form
    16,975/40,134 = 40,134/x
  3. Step 3: Cross multiply
    16,975x = 40,134 × 40,134
  4. Step 4: Simplify right side
    16,975x = 1,610,737,956
  5. Step 5: Solve for x
    x = 1,610,737,956/16,975
  6. Step 6: Final answer
    x = 94,888.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.