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Finding the Third Proportional to 12,724.13 and 27,706.88

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Solution

The third proportional to 12,724.13 and 27,706.88 is: 60,331.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,724.13 : 27,706.88 = 27,706.88 : x
  2. Step 2: Convert to fraction form
    12,724.13/27,706.88 = 27,706.88/x
  3. Step 3: Cross multiply
    12,724.13x = 27,706.88 × 27,706.88
  4. Step 4: Simplify right side
    12,724.13x = 767,670,922.27
  5. Step 5: Solve for x
    x = 767,670,922.27/12,724.13
  6. Step 6: Final answer
    x = 60,331.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.