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Finding the Third Proportional to 12,396.50 and 27,250

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Solution

The third proportional to 12,396.50 and 27,250 is: 59,900.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,396.50 : 27,250 = 27,250 : x
  2. Step 2: Convert to fraction form
    12,396.50/27,250 = 27,250/x
  3. Step 3: Cross multiply
    12,396.50x = 27,250 × 27,250
  4. Step 4: Simplify right side
    12,396.50x = 742,562,500
  5. Step 5: Solve for x
    x = 742,562,500/12,396.50
  6. Step 6: Final answer
    x = 59,900.98

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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.