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Finding the Third Proportional to 12,812 and 28,144

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Solution

The third proportional to 12,812 and 28,144 is: 61,823.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812 : 28,144 = 28,144 : x
  2. Step 2: Convert to fraction form
    12,812/28,144 = 28,144/x
  3. Step 3: Cross multiply
    12,812x = 28,144 × 28,144
  4. Step 4: Simplify right side
    12,812x = 792,084,736
  5. Step 5: Solve for x
    x = 792,084,736/12,812
  6. Step 6: Final answer
    x = 61,823.66

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.