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Finding the Third Proportional to 13,937.06 and 18,576.84

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Solution

The third proportional to 13,937.06 and 18,576.84 is: 24,761.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,937.06 : 18,576.84 = 18,576.84 : x
  2. Step 2: Convert to fraction form
    13,937.06/18,576.84 = 18,576.84/x
  3. Step 3: Cross multiply
    13,937.06x = 18,576.84 × 18,576.84
  4. Step 4: Simplify right side
    13,937.06x = 345,099,123.71
  5. Step 5: Solve for x
    x = 345,099,123.71/13,937.06
  6. Step 6: Final answer
    x = 24,761.25

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.