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Finding the Third Proportional to 12,568.50 and 27,079.50

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Solution

The third proportional to 12,568.50 and 27,079.50 is: 58,344.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,568.50 : 27,079.50 = 27,079.50 : x
  2. Step 2: Convert to fraction form
    12,568.50/27,079.50 = 27,079.50/x
  3. Step 3: Cross multiply
    12,568.50x = 27,079.50 × 27,079.50
  4. Step 4: Simplify right side
    12,568.50x = 733,299,320.25
  5. Step 5: Solve for x
    x = 733,299,320.25/12,568.50
  6. Step 6: Final answer
    x = 58,344.22

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.