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Finding the Third Proportional to 28,267 and 43,957

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Solution

The third proportional to 28,267 and 43,957 is: 68,355.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,267 : 43,957 = 43,957 : x
  2. Step 2: Convert to fraction form
    28,267/43,957 = 43,957/x
  3. Step 3: Cross multiply
    28,267x = 43,957 × 43,957
  4. Step 4: Simplify right side
    28,267x = 1,932,217,849
  5. Step 5: Solve for x
    x = 1,932,217,849/28,267
  6. Step 6: Final answer
    x = 68,355.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.