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Finding the Third Proportional to 12,414.94 and 18,915.19

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Solution

The third proportional to 12,414.94 and 18,915.19 is: 28,818.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.94 : 18,915.19 = 18,915.19 : x
  2. Step 2: Convert to fraction form
    12,414.94/18,915.19 = 18,915.19/x
  3. Step 3: Cross multiply
    12,414.94x = 18,915.19 × 18,915.19
  4. Step 4: Simplify right side
    12,414.94x = 357,784,318.16
  5. Step 5: Solve for x
    x = 357,784,318.16/12,414.94
  6. Step 6: Final answer
    x = 28,818.86

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.