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Finding the Third Proportional to 35,149 and 53,767

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Solution

The third proportional to 35,149 and 53,767 is: 82,246.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,149 : 53,767 = 53,767 : x
  2. Step 2: Convert to fraction form
    35,149/53,767 = 53,767/x
  3. Step 3: Cross multiply
    35,149x = 53,767 × 53,767
  4. Step 4: Simplify right side
    35,149x = 2,890,890,289
  5. Step 5: Solve for x
    x = 2,890,890,289/35,149
  6. Step 6: Final answer
    x = 82,246.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.