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Finding the Third Proportional to 15,975 and 43,353

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Solution

The third proportional to 15,975 and 43,353 is: 117,651.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,975 : 43,353 = 43,353 : x
  2. Step 2: Convert to fraction form
    15,975/43,353 = 43,353/x
  3. Step 3: Cross multiply
    15,975x = 43,353 × 43,353
  4. Step 4: Simplify right side
    15,975x = 1,879,482,609
  5. Step 5: Solve for x
    x = 1,879,482,609/15,975
  6. Step 6: Final answer
    x = 117,651.49

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.