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Finding the Third Proportional to 12,107.81 and 16,353.56

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Solution

The third proportional to 12,107.81 and 16,353.56 is: 22,088.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.81 : 16,353.56 = 16,353.56 : x
  2. Step 2: Convert to fraction form
    12,107.81/16,353.56 = 16,353.56/x
  3. Step 3: Cross multiply
    12,107.81x = 16,353.56 × 16,353.56
  4. Step 4: Simplify right side
    12,107.81x = 267,439,006.44
  5. Step 5: Solve for x
    x = 267,439,006.44/12,107.81
  6. Step 6: Final answer
    x = 22,088.14

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.