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Finding the Third Proportional to 12,271.50 and 27,003.38

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Solution

The third proportional to 12,271.50 and 27,003.38 is: 59,420.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.50 : 27,003.38 = 27,003.38 : x
  2. Step 2: Convert to fraction form
    12,271.50/27,003.38 = 27,003.38/x
  3. Step 3: Cross multiply
    12,271.50x = 27,003.38 × 27,003.38
  4. Step 4: Simplify right side
    12,271.50x = 729,182,261.39
  5. Step 5: Solve for x
    x = 729,182,261.39/12,271.50
  6. Step 6: Final answer
    x = 59,420.79

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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.