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Finding the Third Proportional to 10,756.13 and 16,353.56

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Solution

The third proportional to 10,756.13 and 16,353.56 is: 24,863.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756.13 : 16,353.56 = 16,353.56 : x
  2. Step 2: Convert to fraction form
    10,756.13/16,353.56 = 16,353.56/x
  3. Step 3: Cross multiply
    10,756.13x = 16,353.56 × 16,353.56
  4. Step 4: Simplify right side
    10,756.13x = 267,439,006.44
  5. Step 5: Solve for x
    x = 267,439,006.44/10,756.13
  6. Step 6: Final answer
    x = 24,863.88

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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.