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Finding the Third Proportional to 16,438.22 and 24,042.09

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Solution

The third proportional to 16,438.22 and 24,042.09 is: 35,163.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,438.22 : 24,042.09 = 24,042.09 : x
  2. Step 2: Convert to fraction form
    16,438.22/24,042.09 = 24,042.09/x
  3. Step 3: Cross multiply
    16,438.22x = 24,042.09 × 24,042.09
  4. Step 4: Simplify right side
    16,438.22x = 578,022,271.88
  5. Step 5: Solve for x
    x = 578,022,271.88/16,438.22
  6. Step 6: Final answer
    x = 35,163.32

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.