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Finding the Third Proportional to 28,847 and 43,271

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Solution

The third proportional to 28,847 and 43,271 is: 64,907.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,847 : 43,271 = 43,271 : x
  2. Step 2: Convert to fraction form
    28,847/43,271 = 43,271/x
  3. Step 3: Cross multiply
    28,847x = 43,271 × 43,271
  4. Step 4: Simplify right side
    28,847x = 1,872,379,441
  5. Step 5: Solve for x
    x = 1,872,379,441/28,847
  6. Step 6: Final answer
    x = 64,907.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.