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Finding the Third Proportional to 14,232.38 and 18,576.84

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Solution

The third proportional to 14,232.38 and 18,576.84 is: 24,247.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232.38 : 18,576.84 = 18,576.84 : x
  2. Step 2: Convert to fraction form
    14,232.38/18,576.84 = 18,576.84/x
  3. Step 3: Cross multiply
    14,232.38x = 18,576.84 × 18,576.84
  4. Step 4: Simplify right side
    14,232.38x = 345,099,123.71
  5. Step 5: Solve for x
    x = 345,099,123.71/14,232.38
  6. Step 6: Final answer
    x = 24,247.47

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.