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Finding the Third Proportional to 16,267.50 and 24,576.75

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Solution

The third proportional to 16,267.50 and 24,576.75 is: 37,130.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,267.50 : 24,576.75 = 24,576.75 : x
  2. Step 2: Convert to fraction form
    16,267.50/24,576.75 = 24,576.75/x
  3. Step 3: Cross multiply
    16,267.50x = 24,576.75 × 24,576.75
  4. Step 4: Simplify right side
    16,267.50x = 604,016,640.56
  5. Step 5: Solve for x
    x = 604,016,640.56/16,267.50
  6. Step 6: Final answer
    x = 37,130.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.