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Finding the Third Proportional to 10,611.19 and 16,147.31

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Solution

The third proportional to 10,611.19 and 16,147.31 is: 24,571.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.19 : 16,147.31 = 16,147.31 : x
  2. Step 2: Convert to fraction form
    10,611.19/16,147.31 = 16,147.31/x
  3. Step 3: Cross multiply
    10,611.19x = 16,147.31 × 16,147.31
  4. Step 4: Simplify right side
    10,611.19x = 260,735,700.97
  5. Step 5: Solve for x
    x = 260,735,700.97/10,611.19
  6. Step 6: Final answer
    x = 24,571.77

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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.