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Finding the Third Proportional to 28,737 and 43,144

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Solution

The third proportional to 28,737 and 43,144 is: 64,773.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,737 : 43,144 = 43,144 : x
  2. Step 2: Convert to fraction form
    28,737/43,144 = 43,144/x
  3. Step 3: Cross multiply
    28,737x = 43,144 × 43,144
  4. Step 4: Simplify right side
    28,737x = 1,861,404,736
  5. Step 5: Solve for x
    x = 1,861,404,736/28,737
  6. Step 6: Final answer
    x = 64,773.80

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