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Finding the Third Proportional to 12,819.50 and 27,276.50

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Solution

The third proportional to 12,819.50 and 27,276.50 is: 58,037.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,819.50 : 27,276.50 = 27,276.50 : x
  2. Step 2: Convert to fraction form
    12,819.50/27,276.50 = 27,276.50/x
  3. Step 3: Cross multiply
    12,819.50x = 27,276.50 × 27,276.50
  4. Step 4: Simplify right side
    12,819.50x = 744,007,452.25
  5. Step 5: Solve for x
    x = 744,007,452.25/12,819.50
  6. Step 6: Final answer
    x = 58,037.17

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.