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Finding the Third Proportional to 35,001 and 53,149

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Solution

The third proportional to 35,001 and 53,149 is: 80,706.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,001 : 53,149 = 53,149 : x
  2. Step 2: Convert to fraction form
    35,001/53,149 = 53,149/x
  3. Step 3: Cross multiply
    35,001x = 53,149 × 53,149
  4. Step 4: Simplify right side
    35,001x = 2,824,816,201
  5. Step 5: Solve for x
    x = 2,824,816,201/35,001
  6. Step 6: Final answer
    x = 80,706.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.